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

User ToFo
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2 Answers

5 votes

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


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

User Dimitry Ernot
by
7.0k points
2 votes

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.

User Omencat
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6.4k points