Question

find the roots of the equation x²+4x-32...and verify its roots

Answer 1

x^2 + 4x - 32 =0
x^2 + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x + 8) (x - 4) = 0

Verification
(x + 8) = 0
x = - 8
(x - 4) = 0
x = 4

Answer 2

x^2+8x-4x-32=0
(x+8)(x-4)=0
so x=-8,4.
it's roots are real & distinct.