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Multiplying Polynomials Worksheet

Practice multiplying monomials, binomials, and trinomials using various methods.

Grade 8 Math AlgebraMultiplying Polynomials
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4 Short AnswerFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.APR.A.1

Topics

AlgebraPolynomialsMultiplicationGrade 8 Math
7 sections · Free to use · Printable
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Multiplying Polynomials

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Read each question carefully and show your work for full credit. Simplify all expressions.

1. Multiply the following monomials:

a) (3x^2)(5x^3)

b) (-2y^4)(7y)

c) (4ab^2)(-6a^3b)

2. Distribute and simplify the following expressions:

a) 4x(2x + 5)

b) -3y(y^2 - 4y + 7)

c) 2ab(3a^2 - 5b + 2)

3. Multiply the following binomials using the FOIL method:

a) (x + 3)(x + 5)

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

c) (3y - 2)(y - 6)

4. Complete the following special products:

a) (x + 4)^2 =  

b) (y - 7)^2 =  

c) (2x + 3)(2x - 3) =  

5. Multiply the following expressions:

a) (x + 2)(x^2 + 3x + 1)

b) (y - 1)(2y^2 - 5y + 4)