Question

Which of the binomials below is a factor of this trinomial? x^2 - 7x - 18A. x+2B. x-2C. x-3D. x+3

Answer 1

Given:

The function is:

`x^2-7x-18`

Find-:

The binomials below are a factor of this trinomial

Explanation-:

Function is:

`=x^2-7x-18`

Factor is:

`\begin{gathered} =x^2-7x-18 \\ \\ =x^2-9x+2x-18 \\ \\ \end{gathered}`

The factor of quadratic equation,

`\begin{gathered} =x^2-9x+2x-18 \\ \\ =x(x-9)+2(x-9) \\ \\ =(x-9)(x+2) \end{gathered}`

The factore of this trinomial is x + 2.