Multiplying Polynomials Worksheet
Practice multiplying monomials, binomials, and trinomials using various methods.
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Topics
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)
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