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Find the remainder of (h4 + h2 – 2) ÷ (h + 3).
The remainder is

Question

Angee · Answer

I can't tell you the answer but i suggest take a way the h's them do what is asks and pout it back on at the end like (4/2-2)+3
then once you got that add the 3

jhonyy9 · Answer

so just divide

(h^4 +h^2 -2) ÷ (h +3) = ?

Extrinix · Answer

@surjithayer wrote:

h+3=0 h=-3 -3)1 0 1 0 -2( | -3 9 -30 +90 | 1 -3 10 -30 |88 $$Quotient=x^3-3x^2+10x-30$$ Remainder=88

explanation?

surjithayer · Answer

h+3)h^4+0h^3+h^2+0h-2(h^3-3h^2+10h-30
       h^4+3h^3
     -       -
   ___________________
             -3h^3+h^2
             -3h^3-9h^2
             +        +
            _____________________
                        10h^2+0h
                        10h^2+30h
                       -           -
                      ________________________
                                   -30h-2
                                   -30h-90
                                   +     +
                                   __________
                                             88
                                    ___________
Earlier i have solved by synthetic division.

surjithayer · Answer

h+3=0
h=-3
-3)1  0   1   0     -2(
   |   -3   9  -30  +90

| 1 -3  10  -30  |88
$$Quotient=h^3-3h^2+10h-30$$
Remainder=88