Block 1 Notes - Central Bucks School District · 2019. 9. 9. · Polynomials Multiply each pair of...

6
P .3 Notes - Polynomials and Special Products ůŽĐŬ ϭ EŽƚĞƐ tĞĚŶĞƐĚĂLJ :ƵŶĞ ϭϵ ϮϬϭϵ ϭϮϰϯ WD

Transcript of Block 1 Notes - Central Bucks School District · 2019. 9. 9. · Polynomials Multiply each pair of...

Page 1: Block 1 Notes - Central Bucks School District · 2019. 9. 9. · Polynomials Multiply each pair of polynomials. a.) 3x2 (4x2 — 2x) Special Products b.) (2x — d.) (2x — f.) (x2

P.3 Notes - Polynomials and Special Products

�ůŽĐŬ�ϭ�EŽƚĞƐtĞĚŶĞƐĚĂLJ͕�:ƵŶĞ�ϭϵ͕�ϮϬϭϵ ϭϮ͗ϰϯ�WD

Page 2: Block 1 Notes - Central Bucks School District · 2019. 9. 9. · Polynomials Multiply each pair of polynomials. a.) 3x2 (4x2 — 2x) Special Products b.) (2x — d.) (2x — f.) (x2
Page 3: Block 1 Notes - Central Bucks School District · 2019. 9. 9. · Polynomials Multiply each pair of polynomials. a.) 3x2 (4x2 — 2x) Special Products b.) (2x — d.) (2x — f.) (x2
Page 4: Block 1 Notes - Central Bucks School District · 2019. 9. 9. · Polynomials Multiply each pair of polynomials. a.) 3x2 (4x2 — 2x) Special Products b.) (2x — d.) (2x — f.) (x2
Page 5: Block 1 Notes - Central Bucks School District · 2019. 9. 9. · Polynomials Multiply each pair of polynomials. a.) 3x2 (4x2 — 2x) Special Products b.) (2x — d.) (2x — f.) (x2
Page 6: Block 1 Notes - Central Bucks School District · 2019. 9. 9. · Polynomials Multiply each pair of polynomials. a.) 3x2 (4x2 — 2x) Special Products b.) (2x — d.) (2x — f.) (x2

Polynomials 3: Factors, Roots, and Theorems (Honors) · Since 1 is a root, we can use synthetic division to reduce 2x + 6x note: the remainder is 0, confirming (x 1) is a factor 2x+5

Polynomials 3: Factors, Roots, and Theorems (Honors) · Since 1 is a root, we can use synthetic division to reduce 2x + 6x note: the remainder is 0, confirming (x 1) is a factor 2x+5

Polynomials 3: Factors, Roots, and Theorems (Honors) · PDF file · 2017-07-27Method B) Long Division Since (X + — 1) 2x —2x 2x+5 2 (-2) ... find the equation Polynomials: Factors,

Polynomials 3: Factors, Roots, and Theorems (Honors) · PDF file · 2017-07-27Method B) Long Division Since (X + — 1) 2x —2x 2x+5 2 (-2) ... find the equation Polynomials: Factors,

SECTION 3.3 Real Zeros of Polynomials 227...P\x)=C(x +1) (x -2)2 =C(x3 -3x2 +4). Since P(0) =4we have 4=C[(0)3 - 3(0)2 +4] 4* 4=AC 4* C= 1and P(x) = x3 - 3x2 + 4. 65. 1he y-intercept

SECTION 3.3 Real Zeros of Polynomials 227...P\x)=C(x +1) (x -2)2 =C(x3 -3x2 +4). Since P(0) =4we have 4=C[(0)3 - 3(0)2 +4] 4* 4=AC 4* C= 1and P(x) = x3 - 3x2 + 4. 65. 1he y-intercept

Adding and Subtracting Polynomials...Horizontal format:Group like terms and simplify. (3x2+x− 6) + (x2+ 4x+ 10) = (3x2+x2) + (x+ 4x) + (−6 + 10) = 4x2+ 5x+ 4 The sum is 4x2+ 5x+

Adding and Subtracting Polynomials...Horizontal format:Group like terms and simplify. (3x2+x− 6) + (x2+ 4x+ 10) = (3x2+x2) + (x+ 4x) + (−6 + 10) = 4x2+ 5x+ 4 The sum is 4x2+ 5x+

Loudoun County Public Schools...VI. Factoring Polynomials Examples: Factoring out the GCF a) + 21x 3x(2x + 7) Trinomial d) 3x2+7X+2 Tutorials: Perfect Square Trinomial c) 25

Loudoun County Public Schools...VI. Factoring Polynomials Examples: Factoring out the GCF a) + 21x 3x(2x + 7) Trinomial d) 3x2+7X+2 Tutorials: Perfect Square Trinomial c) 25

3X2 - pbcgov.com

3X2 - pbcgov.com

AFM Objective 1.01. Polynomials have more than one term: ◦ 2x + 1 ◦ 3x 2 + 2x + 1 The fancy explanation: ◦ f(x) = a n x n + a n-1 x n-1 + …+ a 2 x.

AFM Objective 1.01. Polynomials have more than one term: ◦ 2x + 1 ◦ 3x 2 + 2x + 1 The fancy explanation: ◦ f(x) = a n x n + a n-1 x n-1 + …+ a 2 x.

1 LEGO.com/creator...36 4 37 2x 1x 1 2x 2x 2 2x 1x 3 38 2x 2x 5 2x 2x 2x 6 1x 2x 2x 4 2x 39 26 40 27 41 1x 1x 1 1x 1x 2x 2x 2 1x 42 1x 2x 2x 4 2x 2x 2x 2x 3 43 2x 2x 2x 1x 2x 5 4x

1 LEGO.com/creator...36 4 37 2x 1x 1 2x 2x 2 2x 1x 3 38 2x 2x 5 2x 2x 2x 6 1x 2x 2x 4 2x 39 26 40 27 41 1x 1x 1 1x 1x 2x 2x 2 1x 42 1x 2x 2x 4 2x 2x 2x 2x 3 43 2x 2x 2x 1x 2x 5 4x

3x2 Residential Balcony

3x2 Residential Balcony

HIGHER MATHEMATICS Unit 2 Topic 2 · PDF filee.g. 6x + 5 dx = 3x2 + 5x + c ... To Integrate you add 1 to the power & divide by this NEW power!! Integration: ... 2x dx = 2x 2 2 + c

HIGHER MATHEMATICS Unit 2 Topic 2 · PDF filee.g. 6x + 5 dx = 3x2 + 5x + c ... To Integrate you add 1 to the power & divide by this NEW power!! Integration: ... 2x dx = 2x 2 2 + c

Polynomials Expressions like 3x 4 + 2x 3 – 6x 2 + 11 and m 6 – 4m 2 +3 are called polynomials. (5x – 2)(2x+3) is also a polynomial as it can be written.

Polynomials Expressions like 3x 4 + 2x 3 – 6x 2 + 11 and m 6 – 4m 2 +3 are called polynomials. (5x – 2)(2x+3) is also a polynomial as it can be written.

CU 3X2, CU 3X4

CU 3X2, CU 3X4

What You’ll Learn And Whyghcimfm1p.weebly.com/uploads/8/8/6/0/8860640/chapter_7.pdf · 256 CHAPTER 7: Polynomials 8. Combine like terms.Use algebra tiles. a) 3x 1 2x 3 b) 3x2 2x

What You’ll Learn And Whyghcimfm1p.weebly.com/uploads/8/8/6/0/8860640/chapter_7.pdf · 256 CHAPTER 7: Polynomials 8. Combine like terms.Use algebra tiles. a) 3x 1 2x 3 b) 3x2 2x

(2x - 3)(x + 1) LESSON ONE - Lesson Notesmathcaddy.weebly.com/uploads/2/1/4/4/21446970/... · 2019-12-04 · Polynomials LESSON ONE - Expanding Polynomials Lesson Notes FOIL (2x -

(2x - 3)(x + 1) LESSON ONE - Lesson Notesmathcaddy.weebly.com/uploads/2/1/4/4/21446970/... · 2019-12-04 · Polynomials LESSON ONE - Expanding Polynomials Lesson Notes FOIL (2x -

SALON INMERSION 2012 16, 17 y 18 DE MARZO 6x2 3x2 3x2 23 R CAMARA RESTAURANTE … · 2012. 3. 2. · SALON INMERSION 2012 16, 17 y 18 DE MARZO 6x2 3x2 3x2 23 R CAMARA RESTAURANTE

SALON INMERSION 2012 16, 17 y 18 DE MARZO 6x2 3x2 3x2 23 R CAMARA RESTAURANTE … · 2012. 3. 2. · SALON INMERSION 2012 16, 17 y 18 DE MARZO 6x2 3x2 3x2 23 R CAMARA RESTAURANTE

Why It’s What Important · We can use algebra tiles to model an expression such as 3x2 2x 5. To model 3x2 2x 5, we use three x2-tiles, two x-tiles, and five 1-tiles. A polynomial

Why It’s What Important · We can use algebra tiles to model an expression such as 3x2 2x 5. To model 3x2 2x 5, we use three x2-tiles, two x-tiles, and five 1-tiles. A polynomial

September 08 2014 01.GWB - 1/15 - Mon Sep 08 2014 13:37:38...Factor polynomials by using the GCF. Exit Ticket: When factored completely, x-3 + 3x2 — 4x — 12 equals X3 3X2 -12 x2ß-+-3)

September 08 2014 01.GWB - 1/15 - Mon Sep 08 2014 13:37:38...Factor polynomials by using the GCF. Exit Ticket: When factored completely, x-3 + 3x2 — 4x — 12 equals X3 3X2 -12 x2ß-+-3)

9-27m3notes-key · Classifying Polynomials Polynomials can be classified (named) by the number of terms. Polynomial 3x2 5x —8 4x2 —9x — 10 Number of terms 1 term 2 terms 3 terms

9-27m3notes-key · Classifying Polynomials Polynomials can be classified (named) by the number of terms. Polynomial 3x2 5x —8 4x2 —9x — 10 Number of terms 1 term 2 terms 3 terms

Jeopardy Standard Form Basic Polynomials Multiply Polynomials Factor Polynomials Subtracting Polynomials Adding Polynomials $ 100 $ 200 $ 100 $ 200 $

Jeopardy Standard Form Basic Polynomials Multiply Polynomials Factor Polynomials Subtracting Polynomials Adding Polynomials $ 100 $ 200 $ 100 $ 200 $

g(x) = 3x2 - x3

g(x) = 3x2 - x3