MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions...
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Transcript of MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions...
![Page 1: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/1.jpg)
MULTIPLYING POLYNOMIALS
![Page 2: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/2.jpg)
OBJECTIVE
• NCSCOS 1.01b – Write equivalent forms of algebraic expressions to solve problems.
•Operate with polynomials
•Students will know how to multiply polynomials by using the box method. They will use the rules of exponents and combining like terms to solve problems.
![Page 3: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/3.jpg)
MULTIPLYING POLYNOMIALS
Binomial X Binomial
(3x + 2)(5x + 4)
![Page 4: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/4.jpg)
BOX Method
)45)(23( xx
STEP 1: Draw the
BOX
![Page 5: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/5.jpg)
BOX Method)45)(23( xx
2x2 for a Binomial x Binomial
![Page 6: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/6.jpg)
BOX Method
)45)(23( xx
STEP 2: Place terms on outside
![Page 7: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/7.jpg)
)45)(23( xx
x3 2x5
4
![Page 8: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/8.jpg)
BOX Method
)45)(23( xx
STEP 3: MultiplyFind the area of
each box.
![Page 9: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/9.jpg)
)45)(23( xx
x3 2x5
4
215x xx 35 25 x x10
x34 x12 24 8
![Page 10: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/10.jpg)
BOX Method
)45)(23( xx
STEP 4: Combine Like Terms
![Page 11: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/11.jpg)
x3 2x5
4
215x x10
x12 8
215x x22 8
![Page 12: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/12.jpg)
BOX Method
)45)(23( xx
215x x22 8Why can’t I just combine like terms?
Because we’re multiplying, not adding!
![Page 13: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/13.jpg)
BOX Method
LET’S SEE THAT
AGAIN!
![Page 14: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/14.jpg)
BOX Method
STEP 1: Draw the
BOX
![Page 15: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/15.jpg)
BOX Method
2x2 for a Binomial x Binomial
![Page 16: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/16.jpg)
BOX Method
STEP 2: Place terms on outside
![Page 17: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/17.jpg)
x5 3
![Page 18: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/18.jpg)
BOX Method
STEP 3: MultiplyFind the area of
each box.
)56)(35( xx
![Page 19: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/19.jpg)
x5 3230x xx 56 36 x x18
x55 x25 35 15
![Page 20: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/20.jpg)
BOX Method
STEP 4: Combine Like Terms
)56)(35( xx
![Page 21: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/21.jpg)
x5 3230x x18
x25 15
230x x7 15
![Page 22: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/22.jpg)
BOX Method
230x x7 15
![Page 23: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/23.jpg)
BOX Method
AND AGAIN!
![Page 24: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/24.jpg)
BOX Method
STEP 1: Draw the
BOX
![Page 25: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/25.jpg)
BOX Method
2x2 for a Binomial x Binomial
![Page 26: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/26.jpg)
BOX Method
STEP 2: Place terms on outside
![Page 27: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/27.jpg)
x4 7
![Page 28: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/28.jpg)
BOX Method
STEP 3: MultiplyFind the area of
each box.
![Page 29: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/29.jpg)
x4 728x xx 24 72 x x14
x49 x36 79 63
![Page 30: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/30.jpg)
BOX Method
STEP 4: Combine Like Terms
![Page 31: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/31.jpg)
x4 728x x14
x36 63
28x x50 63
![Page 32: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/32.jpg)
BOX Method
28x x50 63
![Page 33: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/33.jpg)
BOX Method
YOU TRY1.(5x – 1)(4x + 11)2.(2x – 3)(3x + 4)3.(2x2 + 3x)(4x2 – 2x)
![Page 34: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/34.jpg)
BOX Method
2x2 for a Binomial x Binomial
)114)(15( xx
![Page 35: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/35.jpg)
x5 1x4
11
)114)(15( xx
![Page 36: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/36.jpg)
x5 1x4
11
220x x4
x55 11
)114)(15( xx
![Page 37: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/37.jpg)
x5 1x4
11
220x x4
x55 11
220x x51 11
![Page 38: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/38.jpg)
BOX Method
)114)(15( xx220x x51 11
![Page 39: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/39.jpg)
BOX Method
What about a binomial x trinomial?
![Page 40: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/40.jpg)
x4 338x 26x220x x15
x16 12
![Page 41: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/41.jpg)
x4 322x
x5
4
38x 26x220x x15
x16 1238x 214x x 12
![Page 42: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/42.jpg)
1.(x2 – 2x + 3)(2x + 4)2.(2x + 3)(4x2 – 2x + 4)3.(4x – 2)(5x2 – 4x – 3)
![Page 43: MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.](https://reader033.fdocuments.us/reader033/viewer/2022061600/56649f515503460f94c7465f/html5/thumbnails/43.jpg)
1.(x + 3)(x + 2)2.(2x + 4)(3x – 2)3.(-3x + 4)(5x – 6)4.(7x – 5)(5x – 7)5.(3x – 4)(3x2 – 2x – 4)