Question

15. Which quadratic equation has roots -2 and 3? *Mark only one oval.

Answer 1

Explanation

We are asked to determine the quadratic equation that has -2 and 3 as its roots

To do so, we will make use of the fact that

if -2 is one of its roots, then

$\begin{gathered} x=-2 \\ (x+2)\text{ is a factor} \end{gathered}$

Also

$\begin{gathered} x=3 \\ (x-3)\text{ is a factor} \end{gathered}$

Thus

we have

$(x+2)(x-3)=x^2-3x+2x-6=x^2-x-6$

Therefore, the answer is