Question

Which of the following is the correct factored form of the given equation? x 2 3x - 4 = 0 (x - 1)(x 4) = 0 (x - 1)(x - 4) = 0 (x 1)(x - 4) = 0

Answer 1

See attached picture.

Answer 2

The correct factored form of the given polynomial equation is:

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

Explanation:

We are asked to find the factor form of the polynomial equation of degree 2 or we can say a quadratic equation which is given as:

`x^2+3x-4=0`

We can convert this equation in the simplest form by using the method of splitting the middle term.

So, we can represent our equation as:

`x^2+3x-4=0\\\\x^2+4x-x-4=0\\\\x(x+4)-1(x+4)=0\\\\(x-1)(x+4)=0`

Hence, the correct factored form of the given equation is:

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