Find the quotient and remainder when $f (x) = x^{4} - 3 x^{2} + 4 x + 5$ is divided by $g (x) = x^{2} + 1 - x$

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Solution

$f (x) = x^{4} - 3 x^{2} + 4 x + 5$ divide by $g (x) = x^{2} + 1 - x$
Quotient = $x^{2} + x - 3$
Remainder = 8

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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. Find the quotient when f(x) = x³ + 3x² + 3x + 5 is divided by g(x) = x + 2. Also, find the remainder.

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Find the quotient and remainder when f(x)=x4−3x2+4x+5 is divided by g(x)=x2+1−x

f(x)=x4−3x2+4x+5 divide by g(x)=x2+1−xQuotient = x2+x−3Remainder = 8

Find the quotient and remainder when $f (x) = x^{4} - 3 x^{2} + 4 x + 5$ is divided by $g (x) = x^{2} + 1 - x$

$f (x) = x^{4} - 3 x^{2} + 4 x + 5$ divide by $g (x) = x^{2} + 1 - x$
Quotient = $x^{2} + x - 3$
Remainder = 8