Question

Question 2

Tahlia solved the equation 5 - 56 -0 by factoring.

Part A: Select the factors of ?-56

(x-7)

(+7)

(x-4)

(+14)

(X-8)

(x+8)

(x+4)

(x-14)

Answer 1

The factors are: (x - 8) and (x + 7)

Explanation:

Given

`x^2 - x - 56 = 0` -- the right equation

Required

Select the factors of the equation

`x^2 - x - 56 = 0`

Expand the equation

`x^2 + 7x - 8x - 56 = 0`

Factorize:

`x(x+7)-8(x+7) =0`

Factor out x + 7

`(x-8)(x+7) =0`

Hence, the factors are: (x - 8) and (x + 7)