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18 September, 02:25

What is the greatest common factor (GCF) of the numerator and denominator

of the rational expression below?

4x + 20

x2 + 2x - 15

A. x

B. x-3

C. x+5

D. 4

+1
Answers (1)
  1. 18 September, 02:45
    0
    C

    Step-by-step explanation:

    x²+2x-15 = x²-3x+5x-15 = x (x-3) + 5 (x-3) = (x+5) (x-3)

    or delta:

    ∆=2²-4*1 * (-15) = 4+60=64

    √∆=8

    x1 = (-2+8) / 2 = 3

    x2 = (-2-8) / 2=-5

    and 4x+20 = 4 (x+5)

    The same is (x+5), so it is GCF. answer C
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