Multiply a Monomial by a Polynomial Lesson Slides: 8 Slides

8 Slides • 4 Questions

1

8.2/8.3 Multiplying Polynomials

2

Multiply a Polynomial by a Monomial

Horizontal Method: -3x²(7x²-x+4)

1. Rewrite with Distributive Property

2. Multiply

3. Simplify

3

Multiply a Polynomial by a Monomial

Vertical Method: -3x²(7x²-x+4)

1. Stack

2. Multiply with Distributive Property

4

Multiple Choice

Simplify the expression.
-3x²( 7x²- x + 4)

1

-21x⁴ + 3x³ -12x²

2

7x² - x + 4 (-3x²)

3

21x⁴+ 3x³+ 12x²

4

-12x²+ 3x³-21x⁴

5

2p(-4p²+5p) - 5(2p²+20)

Simplify

Two steps:

Distribute First!

Add the polynomials

6

Fill in the Blanks

Challenge: Solve for a

$2a\left(5a-2\right)+3a\left(2a+6\right)+8=a\left(4a+1\right)+2a\left(6a-4\right)+50$

Correct answers get a piece of candy!

Type answer...

7

Multiply Binomials: FOIL

8

Multiply Binomials: FOIL

(2y-7)(3y+5)

F irst

O utside

I nside

L ast

9

Multiply Binomials: Distribute

(2x+3)(x+5)

10

Multiple Choice

Find the product:

(x+5)(x+2)

1

$x^2+7x+10$

2

$x^2+10$

3

$2x+7$

4

$x^2+5x+2$

11

Multiply Polynomials: Distribute

(6x+5)(2x²-3x-5)

12

Multiple Choice

Find the product:

$\left(2a-9\right)\left(3a^2+4a-4\right)$

1

$6a^2-63a+36$

2

$6a^3-10a^2-40a+32$

3

$6a^3-19a^2-44a+36$

4

No solution

8.2/8.3 Multiplying Polynomials

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