Question

If the factors of a polynomial are x-5 and x+2, what values of x make the polynomial 0?

Answer 1

Given: The factors of a polynomial as

`\begin{gathered} factor1:(x-5) \\ factor2:(x+2) \end{gathered}`

To Determine: The value of x that makes the polynomial equal to zero

Solution

For the polynomial to be equal to zero, the product of the factors must be equal to zero. Therefore

`(x-5)(x+2)=0`

Using properties of zero

`\begin{gathered} x-5=0,OR,x+2=0 \\ x=5,OR,x=-2 \end{gathered}`

Hence, the value of x for which the polynomial is equal to zero are

5 and -2, OPTION D