Question

Evaluate function at the given value using the remainder theorem.

f(a)=a^4-2a^3-10a^2-7a at a=-2

Answer 1

6

Explanation:

`f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6`