Multiplying Monomials and Polynomials

This worksheet focuses on multiplying monomials and polynomials, covering distributive property, FOIL method, and special products for Grade 11 algebra students.

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Grade 11 Math AlgebraMultiplying Monomials and Polynomials

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Includes

4 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

AlgebraPolynomialsMonomialsMultiplicationGrade 11

9 sections · Free to use · Printable

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Multiplying Monomials and Polynomials

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Read each question carefully and show all your work. Simplify your answers completely.

1. Simplify the expression: (4x^2y^3)( -2xy^4)

2. Find the product of ( -5a^3b^2c) and (3a^2b^5).

3. Expand the expression: 3x(2x^2 + 5x - 7) =

4. Simplify: -2a^2(4a^3 - 3a + 1) =

5. Multiply: (x + 3)(x - 5)

6. Expand: (2y - 1)(3y + 4)

7. Which of the following is equivalent to (x + 6)^2?

x^2 + 36

x^2 + 6x + 36

x^2 + 12x + 36

x^2 + 12x + 12

8. The product of (3m - 2n)(3m + 2n) is:

9m^2 + 4n^2

9m^2 - 4n^2

9m^2 - 12mn + 4n^2

9m^2 + 12mn + 4n^2

9. Expand and simplify: (x + 2)(x^2 - 3x + 4)

10. Find the product of (2p - 3q) and (p^2 + pq - q^2).

11. The product of two monomials is always a monomial.

True

False

12. When multiplying (a + b)(a - b), the middle terms always cancel out.

True

False

13. Find the area of a rectangle with length (3x + 2) units and width (x^2 - 4x + 5) units. Express your answer as a polynomial in standard form.

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