Question

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Find the remainder of (h^4+h^2-2) divided by (h+3)

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.

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.