Question

Which of the binomials below is a factor of this trinomial? x^2 + 3x - 4A. x+4B. x+8C. x-4D. x^2+4

Answer 1

Given:

The equation is:

$x^2+3x-4$

Find-:

Binomials factor of the equation

Explanation-:

The quadratic equation,

$x^2+3x-4$

Solve for factor

$\begin{gathered} =x^2+3x-4 \\ \\ =x^2+4x-x-4 \\ \end{gathered}$

Then the factor is:

$\begin{gathered} =x^2+4x-x-4 \\ \\ =x(x+4)-1(x+4) \\ \\ =(x+4)(x-1) \end{gathered}$

So, the factor is x + 4