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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 Monomials

When Multiplying Monomials, multiply the coefficients and add the exponents.

Multiple Choice

9xy² * 9x⁵y²

• 81x⁶y⁴
• 18x⁶y⁶
• 9x⁶y⁴
• none of the above

Multiple Choice

6m³n³ * 8m²n³

• 48m⁵n⁹
• 48m⁶n⁶
• 48m⁵n⁶
• none of the above

Multiple Choice

(3c²)(10c⁷)

• 13c⁹
• 30c⁵
• 30c⁹
• -30c⁹

Multiple Choice

• -35y⁶
• -35y⁵
• -2y⁶
• -2y⁵

Multiple Choice

• 10x⁹
• 24x¹⁴
• 24x⁹
• 10x¹⁴

Multiplying a Polynomial by a Monomial

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

Multiple Choice

Simplify:
3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a
• 10a³ + 24a + 6
• 8a³ + 11a² + 6a
• 15a³ + 24a + 6

Multiple Choice

3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a
• 10a³ + 24a + 6

Multiple Choice

Multiply

Multiple Choice

Multiply

Multiple Choice

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶
• 12m⁸ + 8m⁶