Factorize the equation

Compare the equation with ax² + bx + c = 0

We get

a = 1 ,b=-2 c= -8 To factorize the value we have to find two value which

sum is equal to b =-2

and product is a x c = 1 x -8 = -8

2 and -4 are such number which

sum is 2-4 = - 2 product is 2*-4 = - 8 So we can write middle term -2 x = 2 x – 4 x

We get

x²+2x-4x-8=0

x (x + 2)-4(x + 2) = 0

(x+2) (x-4) = 0

First zero

x + 2 = 0

x = -2

Second zero

x-4 = 0

x = 4

sum of zero -2 + 4 = 2

product of zero 2 x -4 = -8

For a equation ax² + bx + c = 0 , if zeroare α and β ,

Plug the values of a , b and c we get

Sum of zeros -b/a = -(-2/1) = 2

Product of zeros c/a =-8/1 = -8