Question

If f(x)=x^2+4x-3 then what is the remainder when f(x) is divided by x-3?

Answer 1

Answer:

The remainder, R(3) = 18

Explanations:

The given function is:

`f(x)=x^2\text{ + 4x - 3}`

According to the remainder theorem, the remainder when the function f(x) is divided x-3 is gotten by substituting x = 3 into f(x)

`\begin{gathered} f(3)=R(3)=3^2+4(3)-3 \\ f(3)\text{ = R(3) = 9 + 12 - 3} \\ f(3)\text{ = R(3) = 18} \end{gathered}`

The remainder = 18