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

15 Which Quadratic Equation Has Roots 2 And 3 Mark Only One Oval class=

Sagot :

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

[tex]\begin{gathered} x=-2 \\ (x+2)\text{ is a factor} \end{gathered}[/tex]

Also

[tex]\begin{gathered} x=3 \\ (x-3)\text{ is a factor} \end{gathered}[/tex]

Thus

we have

[tex](x+2)(x-3)=x^2-3x+2x-6=x^2-x-6[/tex]

Therefore, the answer is

View image AvlynnI759396
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