Question

Type the correct answer in the box use numerals instead of words if necessary use / for the fraction bar

Answer 1

If you use the polynomial remainder theorem, right away you get a remainder of

$h(-3)=(-3)^4+(-3)^2-2=88$

Answer 2

Answer: The remainder would be 88.

Step-by-step explanation:

Since we have given that

$f(h)=h^4+h^2-2$

and

$g(h)=h+3$

We need to find the remainder while dividing f(h) by g(h).

First we take, g(h) = 0

$h+3=0\\\\h=-3$

Now, we put the value of h = -3 in f(h) to get the remainder.

$f(-3)=(-3)^4+(-3)^2-2\\\\f(-3)=81+9-2\\\\f(-3)=90-2\\\\f(h)=88$

Hence, the remainder would be 88.