Multiplying Monomials and Polynomials
This worksheet provides practice on multiplying monomials by polynomials and multiplying two polynomials, covering essential algebraic skills for Grade 10 math.
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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.
Directions: Multiply the monomial by the polynomial.
1. 3x(2x + 5)
2. -4y²(y³ - 7y + 2)
3. 5ab(2a²b - 3ab² + 4a - 6b)
Directions: Complete the multiplication using the distributive property.
4. (x + 3)(x + 5) = x( ) + 3( ) = + =
5. (2y - 1)(y + 4) = 2y( ) - 1( ) = - =
Directions: Multiply the binomials. Use the FOIL method or any other method you prefer.
6. (x + 6)(x - 2)
7. (3a - 4)(a + 7)
8. (5k - 3)(2k - 1)
Directions: Multiply the polynomials.
9. (x + 2)(x² - 3x + 4)
10. (2m - 5)(m² + 4m - 1)
11. Which of the following is the correct product of (4x - 3)(x + 2)?
4x² - 6
4x² + 5x - 6
4x² + 11x - 6
4x² - 11x - 6
12. The product of a monomial and a polynomial is always a polynomial.
True
False