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If the polynomial (x^(4)+2x+8x^(2)+12x+1...

If the polynomial `(x^(4)+2x+8x^(2)+12x+18)` is divided by another polynomial `(x^(2)+5)`, the remainder comes out to be (px+q). Find the values of p and q.

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The correct Answer is:
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Let f(x)`=x^(4)+2x^(3)+8x^(2)+12x+18 " " and " " g(x)=x^(2)+5`
On dividing f(x) by g(x)

`:' ` the remainder is given px+q.
`:." " p=2 and q=3 " "` Ans.
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