Do Now

Subtract (2x2 + 3x + 8) from (-3x2 + 6x – 2).

When multiplying, add the exponents!

1) Simplify: 5(7n – 2)

Use the distributive property.

5 • 7n

35n – 10

Multiplying Polynomials By Monomials

– 5• 2

3(8 12)

4a a 2) Simplify:

6a2 + 9a

3) Simplify: 6rs(r2s - 3) 6rs • r2s

6r3s2 – 18rs

38

4a a

312

4a

– 6rs • 3

4) Simplify: 4t2(3t2 + 2t – 5)

12t4

5) Simplify: - 4m3(-3m – 6n + 4p)

12m4

+ 8t3 – 20t2

+ 24m3n – 16m3p

6) 4(d2 + 5d) + d(d2 – 7d + 2)

7) 4y(y2 – 8y + 6) – 3(2y3 – 5y2 + 2)

Multiplying Polynomials

We use the distributive property to multiply two or more polynomials.

1) Distribute the first term of the first ( ) to ALL terms in the second ( ).

2) Distribute the second term of the first ( ) and continue until you are done with the first ( ).

3) Combine like terms.

1. ( x – 5)( x + 7)

x2 + 7x – 5x – 35

x2 + 2x – 35

2. (2x + 3)(5x + 8)

10x2 + 16x + 15x + 24

10x2 + 31x + 24

3. (3x – 5)(5x + 2)

15x2 + 6x – 25x – 10

15x2 – 19x – 10

4. (7p – 2)(3p – 4)

21p2 – 28p – 6p + 8

21p2 – 34p + 8

5. (a – 3)(a2 – 8a + 5)

a3 + 5a – 3a2 + 24a

a3 – 11a2 + 29a – 15

– 8a2 – 15

6. (3c + 2)(c2 – 4c + 8)

3c3 + 24c + 2c2 – 8c

3c3 – 10c2 + 16c + 16

– 12c2 + 16

Homework

Chapter 8 Packet:

pg. 487 #’s 1 – 18 multiples of 3

pg. 494 #’s 1 – 9 odds, 19

* Lab Packets Due Next Lab