Multiply Polynomials and Divide Polynomials by Monomials

How to multiply a monomial by a polynomial?

• Remove all variables in the polynomial then multiply.

• Combining like terms

• A single term polynomial.

• Distribute the monomial throughout the polynomial.

Determine the product of (3c)(10c)

• 13c²

• 30c

• 30c²

• 13c

Determine the simplified form of the expression 5(3x + 2)

• 3x + 10

• 15x + 10

• 15x - 10

• 3x - 10

Simplify the expression.
2x(-2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

• 5p² - 16p
• 5p + 4
• 5p - 4
• 5p + 4p

Divide the polynomial by the monomial.

• 15x⁹ - 8x³

• 3x⁶ - 8x³

• -5x¹²

• 3x⁶ - 40x³

• 5w ² − 4w + 3
• 12w ² − 9w + 6
• 12w ² − 12w + 9
• 5w ² − 12w+ 9

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x

• 2x⁸-2x²-7x

• 8x⁷-8x-28x

• 2x⁷ -2x -7

5xy(6x-y)

• 11x² - y²

• 30x² + y²

• 30x²y - 5xy²

• 11x²y + 5x²y²

Expand 3a(5a² + 8a + 2) using the distributive property.

• 15a³ + 24a² + 6a

• 10a³ + 24a + 6

• 8a³ + 11a² + 6a

• 15a² + 24a + 6