Question

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

Answer 1

Step-by-step 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