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

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Solution

$P (x) = x^{4} - 3 x^{2} + 4 x + 5$
$g (x) = x^{2} + 1 - x$
$\frac{P (x)}{g (x)} = \frac{x^{4} - 3 x^{2} + 4 x + 5}{x^{2} + 1 - x}$
$Q u o t i e n t = x^{2} + x - 3$
$R e m a i n d e r = 8$

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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

Q. 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

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:
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

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Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following.p(x)=x4–3x2+4x+5; g(x)=x2+1–x

P(x)=x4−3x2+4x+5 g(x)=x2+1−xP(x)g(x)=x4−3x2+4x+5x2+1−xQuotient=x2+x−3Remainder=8

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

$P (x) = x^{4} - 3 x^{2} + 4 x + 5$
$g (x) = x^{2} + 1 - x$
$\frac{P (x)}{g (x)} = \frac{x^{4} - 3 x^{2} + 4 x + 5}{x^{2} + 1 - x}$
$Q u o t i e n t = x^{2} + x - 3$
$R e m a i n d e r = 8$