Question

Which of the following is the correct factored form of the given equation?

x 2 + 3x - 4 = 0

A. (x - 1)(x + 4) = 0
B. (x - 1)(x - 4) = 0
C. (x + 1)(x - 4) = 0

Answer 1

the answer is going to be A

Answer 2

Answer: A.
`(x-1)(x+4)=0`

Explanation:

Given equation :
`x^2 + 3x - 4 = 0`

We can rewrite the above equation as :

`x^2 + 3x - 4 = 0\\\\x^2+(4x-x)-4=0\\\\`

Which can be rewritten as :

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

i.e.

`x^2-x+4x-4=0`

Take x common from first two terms and 4 from last two terms , we get

`x(x-1)+4(x-1)=0`

Take (x-1) common from both terms , we get

`(x-1)(x+4)=0`

Thus, the correct factored form of the given equation :

A.
`(x-1)(x+4)=0`