Multiplying Polynomials

Multiplying Polynomials

Today we will multiply find the product of two or more polynomials.

1.Multiply coefficents (numbers)

2.Multiply variables-

Remember that when you multiply exponents you add them

​Steps

Multiplying Monomials

Multiple Choice

Simplify (-7y²)(5y⁴)

• -35y⁶

• -2y⁶

• -35y⁸

• -2y⁸

Use the coefficient to multiply to every term inside of the parenthesis.

​How-to

Multiplying Polynomials with Distribution

Multiple Select

5x(2x³+6)

• 10x⁴+30x

• 10x³+30x

• 7x⁴+11x

Distribute every term on first polynomial to the second polynomial

​How-to

Multiplying Polynomials

Multiple Select

(2x - 1)(x + 2)

• 2x² + 3x - 2

• 2x² - 5x - 2

• 2x² + 3x + 2

• 2x² - 5x + 2

Your turn!!

7 questions for practice

Multiple Select

(x - 3)(x +10)

• x² - 7x + 13

• x² - 6x - 30

• x² + 7x - 30

• x² + 13x + 30

Multiple Select

(x + 5)(x + 4)

• x² + x + 20

• x² + 20x + 9

• x² + 9x + 20

• x² - 9x + 54

Multiple Select

Multiply

(4x+3)(2x-1)

• 8x²-2x-3

• 8x-3

• 8x²+6x-3

• 8x²+2x-3

Multiple Select

Simplify the expression

(x - 3)²

• x² - 6x + 9

• x² + 9

• x² + 6x - 9

• x² + 6x + 9

Multiple Choice

What is the Area?

• $$2x^2-3x-18$$ sq, in.

• $$2x^2+3x+18$$ sq. in.

• $$2x^2+9x-18$$ sq. in.

• $$2x^2-9x-18$$ sq. in.

Multiple Choice

A rectangle has width (2x + 3) and length (2x - 4).  What is the perimeter of the rectangle?

• 4x - 12

• 4x - 1

• 8x - 2

• 4x² - 2x - 12

Multiple Choice

Find the area of the shaded region:

• 66x³ + 12x²

• 80x² - 24x

• 66x³ + 40x² + 24x

• 66x³ + 92x² -24x