Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder.
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

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Solution

$p (x) = x^{4} - 3 x^{2} + 4 x + 5 = x^{4} + 0. x^{3} - 3 x^{2} + 4 x + 5$

$g (x) = x^{2} + 1 - x = x^{2} - x + 1$
Quotient is $x^{2} + x - 3$ and remainder is 8.

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Similar questions

Q. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder of the following.

p (x) = x^{4} - 3 x^{2} + 4 x + 5

g (x) = x^{2} + 1 - x

Question 1 (ii)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: $p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

Question 1 (ii)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

Q. On dividing

x^{4} - x^{3} - 3 x^{2} + 3 x + 2

by polynomial

g (x)

, the quotient and the remainder are

x^{2} - x - 2

and

2 x

respectively. Find

g (x) = x^{2} - m

.Find

m

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Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder. p(x)=x4−3x2+4x+5,g(x)=x2+1−x

p(x)=x4−3x2+4x+5=x4+0.x3−3x2+4x+5 g(x)=x2+1−x=x2−x+1 Quotient is x2+x−3 and remainder is 8.

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder.
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

$p (x) = x^{4} - 3 x^{2} + 4 x + 5 = x^{4} + 0. x^{3} - 3 x^{2} + 4 x + 5$

$g (x) = x^{2} + 1 - x = x^{2} - x + 1$
Quotient is $x^{2} + x - 3$ and remainder is 8.