Which of the following is the correct factored form of the given equation x²+ 3x - 4 = 0?
(x +4) (x - 1) = 0, (x - 4) (x - 1) = 0, (x - 4) (x +1)= 0

Solution:

We have to find the factored form of the given equation of degree 2

x² + 3x - 4 = 0

This quadratic equation can be converted to the simplest form by splitting the middle term.

The given equation is

x² + 3x - 4 = 0

By splitting the middle term we get

x² + 4x - x - 4 = 0

It can be written as

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

So we get

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

Therefore, the correct factored form of the given equation x²+ 3x - 4 = 0 is (x + 4) (x - 1) = 0.

Which of the following is the correct factored form of the given equation x²+ 3x - 4 = 0?

Summary:

The correct factored form of the given equation x²+ 3x - 4 = 0 is (x + 4) (x - 1) = 0.