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    Factoring Equations and Simplifying Expressions

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    1. Factor. 8m4n - 16mn4
    A) 8m4n(1 - 16mn4)
    B) 8m4n(1 - 2n3)
    C) 8m4n4(m - 2n)
    D) 8mn(m3 - 2n3)

    2. Factor completely. b2 - ab - 6a2
    A) (b - 3a)(b + 2a)
    B) (b + 3a)(b - 2a)
    C) (b - 6a)(b + a)
    D) (b + 6a)(b - a)

    3. Factor completely. 3(x - 2)2 - 3(x - 2) - 6
    A) 3(x - 4)(x - 1)
    B) 3(x - 4)(x + 1)
    C) 3(x - 2)(x - 1)
    D) 3(x - 2)(x + 1)

    4. Factor completely. 12x3 - 3xy2
    A) 12x(x - 3y)(x - y)
    B) 3x(4x - y)(x + y)
    C) 3x(2x + y)(2x - y)
    D) 3x(2x - y)2

    5. Factor by grouping. x3 - 5x2 + 2x - 10.

    6. True or False? x2 - 18x + 81 = (x - 9)(x - 9)
    A) True
    B) False

    7. State which method should be applied as the first step for factoring the polynomial.
    2a2 + 9a + 10
    A) Find the GCF.
    B) Group the terms.
    C) Factor the difference of squares.
    D) Use the ac method (or trial and error).

    8. Solve. x2 = -6x
    A) 0, -6
    B) 0, 6
    C) 6, -6
    D) 2, 6

    1. Simplify. (b10)7

    2. Evaluate (assume x  0).
    6x0
    A) 0
    B) 1
    C) 6
    D) 6x

    3. Add 5y - 4 and 2y2 - 8y.
    A) 2y2 - 3y - 4
    B) 2y2 + 3y - 4
    C) 7y2 - 12y - 4
    D) 2y2 + 13y - 4

    4. Multiply. (-2a5b3)(5a4b)
    A) 3a9b3
    B) 3a20b3
    C) -10a20b3
    D) -10a9b4

    5. Multiply. (4m - 3n)(4m + 3n)
    A) 16m2 - 24mn + 9n2
    B) 16m2 + 24mn - 9n2
    C) 16m2 - 9n2
    D) 16m2 + 9n2

    6. Divide.

    © BrainMass Inc. brainmass.com March 4, 2021, 7:41 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/factoring-equations-simplifying-expressions-116135

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    Solution Summary

    Equations are factored and expressions are simplified. The solution is detailed and well presented.

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