Question

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)

Answer 1

Answer:

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