Multiplying Polynomials Worksheet
Grade 11 Math worksheet covering multiplication of polynomials, including monomials, binomials, and trinomials, with various techniques.
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Topics
Multiplying Polynomials
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Read each question carefully and show all your work. Simplify your answers completely.
1. Multiply the following expressions:
a) 3x(2x² - 5x + 7)
b) -4y²(y³ + 6y - 9)
2. Complete the multiplication using the FOIL method:
a) (x + 3)(x - 5) =
b) (2y - 1)(y + 4) =
3. Which of the following is the correct product of (x + 2)(x² - 3x + 1)?
x³ - x² - 5x + 2
x³ - x² + 5x + 2
x³ + 5x² - 5x + 2
x³ + x² - 5x + 2
4. Find the product of the following polynomials:
a) (3m + 2)(m² - 4m + 5)
b) (x² - x + 1)(x² + x + 1)
5. State whether each statement is True or False.
a) The product of two binomials is always a trinomial.
True
False
b) (a + b)² = a² + b²
True
False
6. A rectangular garden has a length of (x + 5) feet and a width of (x - 2) feet. Find an expression for the area of the garden.