Michigan State University - Diagnostic Exam

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1.10

  •   Factor 12x2 - x - 6. One of the factors is (?).

    a) (3x + 2) b) (3x - 2) c) (2x + 3)
       
    d) (4x + 3) e) (2x + 1)

Solution:
2 2 12x - x - 6 = 12x - 9x + 8x - 6 = 3x (4x - 3) + 2 (4x - 3) = (4x - 3)(3x + 2)
⇒ 3x + 2 is a factor of 2 12x - x - 6 .

Diagnostic:

See 1.8: Multiplying Binomials and 1.9: Factoring (Polynomials) .

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July 15, 2008