Question

Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-2) and (x-11)?

Answer 1

if the factors of the polynomial were (x-2) and (x-11), then if anyone of them is equal "0", a polynomial will be equal zero.
x-2=0
x=2
x-11=0
x=11

A polynomial will be equal 0 if x=2, or x=11.

Answer 2

Answer:

$x=2\text{ (or) }x=11$

Step-by-step explanation:

We have been given factors of a polynomial as $(x-2)$ and $(x-11)$. We are asked to find the values of x that would make the polynomial equal to zero.

We will use zero product property of polynomials to solve our given problem. The zero product property of polynomials states that if any of two factors of a polynomial is zero, then their product will be equal to zero.

Upon equating our given factors to zero, we will get:

$(x-2)(x-11)=0$

$(x-2)=0\text{ (or) }(x-11)=0$

$x-2=0\text{ (or) }x-11=0$

$x-2+2=0+2\text{ (or) }x-11+11=0+11$

$x=2\text{ (or) }x=11$

Therefore, $x=2\text{ (or) }x=11$ will make the polynomial equal to zero.