Answer
$f(-13)=-5697$
Work Step by Step
The remainder theorem states that when a polynomial p(x) is divided by a linear polynomial (x - a), then the remainder is equal to p(a). The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial, without actually carrying out the steps of the long division.
$f(x)=2x^3-7x^2+9x-3$,
$f(-13)=2(-13)^3-7(-13)^2+9(-13)-3=-5697$
