Question

If the factors of a polynomial are x-4 and x-5, which value of x make that polynomial 0?

Answer 1

Given a polynomial of factors below,

`f(x)=(x-4)(x-5)`

To find the values of x at f(x) = 0, substitute for f(x) into the equation above,

`\begin{gathered} (x-4)(x-5)=0 \\ x-4=0 \\ x=4 \\ x-5=0 \\ x=5 \\ x=4\text{ and 5} \end{gathered}`

C is the right option