Multiplying Monomials and Polynomials
Grade 12 math worksheet on multiplying monomials and polynomials, including binomials and trinomials, with various types of problems.
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Multiplying Monomials and Polynomials
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Read each question carefully and show all your work. Simplify your answers as much as possible.
1. Simplify the following expressions:
a) (3x^2)(5x^3)
b) (-7y^4z)(-2yz^3)
c) (4ab^2c^3)(6a^2bc)
2. Fill in the blanks to complete the multiplication:
a) 2x(3x + 5) = +
b) -4y(y^2 - 2y + 7) = + +
c) 5a^2(a^3 - 4a + 2) = - +
3. Expand and simplify the following binomial products:
a) (x + 3)(x + 5)
b) (2y - 1)(y + 4)
c) (3a - 2)(3a + 2)
4. What is the expanded form of (x - 2)(x^2 + 3x - 1)?
x^3 + x^2 - 7x + 2
x^3 - 5x^2 + 5x + 2
x^3 + 5x^2 - 7x - 2
x^3 - x^2 + 5x - 2
5. A rectangular garden has a length of (2x + 3) meters and a width of (x - 1) meters. Write an expression for the area of the garden in terms of x. Simplify your answer.
6. State whether each statement is True or False:
a) The product of a monomial and a binomial is always a binomial.
True
False
b) (x + y)^2 = x^2 + y^2
True
False