Question

Find the zeros of the equation by factoring.

x2 + 4x - 32 = 0

( __, __) = 0
x = ___

factors should have two whole numbers separated by a: + or - . Do not type parenthese and no spaces. Examples: x+5 x-4

Answer 1

x = - 8, 4

Explanation:

x² + 4x - 32 = 0

to factorise , consider the factors of the constant term (- 32) which sum to give the coefficient of the x- term (+ 4)

the factors are + 8 and - 4 , since

+ 8 × - 4 = - 32 and + 8 - 4 = + 4 , then

(x + 8)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 4 = 0 ⇒ x = 4

zeros are x = - 8 , 4