Question

Use the Remainder Theorem to find f(-1) for f(x) = 3x3 + 7x2X – 10.f(-1) =8 help (numbers)

Answer 1

To determine the function using a remainder theorem:

`f(x)=3x^3+7x^2-x-10`

The above function can be solved by substituting the x-value in the function

Remainder function for x = - 1

`\begin{gathered} f(x)=3x^3+7x^2-x-10 \\ f(-1)=3(-1)^3+7(-1)^2-(-1)-10 \\ =3(-1)+7(1)+1-10 \\ =-3+7+1-10 \\ =-5 \end{gathered}`

Therefore the value of the function f(-1) = -5