10-2 Multiplying Polynomials by a Monomial

Multiplying a Polynomial by a Monomial

Use the Distributive Property when Multiplying a Polynomial by a Monomial.

Multiple Choice

5x(4x³ + 8)

• 9x⁴ + 40x
• 20x⁴ + 40x

Multiple Choice

3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a
• 10a³ + 24a + 6

Multiple Choice

3x(2x² + 9x + 6)

• 6x³ + 27x² + 18x
• 6x³ + 18x² + 9

Multiple Choice

7y(5y² + 2y + 3)

• 35y³ + 14y² + 21y
• 12y³ + 14y² + 21y

Multiple Choice

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶
• 12m⁸ + 8m⁶

Multiple Choice

-7x(3x² + 4x + 1)

• -10x³ + 11x - 7
• -21x³ - 28x² - 7x

Multiple Choice

REVIEW: Add the polynomials:

(2x² + 5x - 11) + (3x + 9)

• 2x² + 8x - 2

• 2x² + 8x - 20

• 2x² + 2x + 2

• 5x² + 8x

Match

Match the following

• 2(x+5)

• x(x² - 3)

• 5x(x² + 2x + 3)

• -3(x² + 2x - 4)

2x+10

x³ - 3x

5x³ + 10x² + 15x

-3x² - 6x + 12

• 2x+10

• x³ - 3x

• 5x³ + 10x² + 15x

• -3x² - 6x + 12

Multiple Choice

When multiplying a polynomial by a monomial, you must use which property?

• The associative property

• The commutative property

• The distributive property

• The identity property