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15 July, 09:45

Rewrite the expression 7x^2+14x-56 as three factors where one of the factors is an integer value. Choose three factors and write an equivalent expression.

A.) 6

B.) 7

C.) 42

D.) (x+1)

E.) (x - 1)

F.) (x+2)

G.) (x-2)

H.) (x+3)

I.) (x-3)

J.) (x+4)

K.) (x-4)

+1
Answers (1)
  1. 15 July, 10:38
    0
    see explanation

    Step-by-step explanation:

    given

    7x² + 14x - 56 ← factor out 7 from each term

    = 7 (x² + 2x - 8)

    To factor the quadratic inside the parenthesis

    Consider the factors of the constant term ( - 8) which sum to give the coefficient of the x - term ( + 2)

    The factors are + 4 and - 2

    since + 4 * - 2 = - 8 and + 4 - 2 = + 2

    x² + 2x - 8) = (x + 4) (x - 2), and

    7x² + 14x - 56 = 7 (x + 4) (x - 2)

    The 3 factors are B, G and J
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