Multiplying Polynomials

Multiplying Polynomials

Using the Distributive Property.

Review - Adding and Subtracting Polynomials.

Multiple Choice

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Multiple Choice

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Multiplying a Polynomial by a Monomial

Use the Distributive Property when Multiplying a Polynomial by a Monomial.
3a(5a² + 8a + 2)

Multiple Choice

Simplify:
3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a

• 10a³ + 24a + 6

• 8a³ + 11a² + 6a

• 15a³ + 24a + 6

Multiple Choice

Multiply

Multiple Choice

Multiply

Multiple Choice

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶

• 12m⁸ + 8m⁶

Multiplying Binomials

When Multiplying Binomials - Multiply the 2nd binomial by each term of the first binomial. Then add like terms. (Just like addition and subtraction).

Multiple Choice

Simplify:
(x - 9)(x - 7)

• x² - 2x - 63

• x² - 16x - 63

• x² - 2x + 63

• x² - 16x + 63

Multiple Choice

Find the product:
(x + 5)(x - 4)

• x² + 9x + 20

• x² + 9x - 20

• x² + 1x - 20

• x² - 1x - 20

Multiple Choice

Simplify:
(x - 7)(x + 7)

• x² + 7x - 49

• x² - 7x + 49

• x² - 49

• x² + 49

Multiple Choice

Simplify:
(x-7)²

• x²-49

• x²+49

• x²-14x+49

• x²-14x-49

Multiple Choice

Find the product:
(x + 12)(x - 12)

• x² - 144

• x² + 144

• x² + 12x - 144

• x² - 12x + 144