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Remainder Theorem

Find the rema...

Question

Find the remainder when $x^{3} + p x^{2} + q x + r$ is divided by $x^{2} + p x + q$

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Solution

Steps:
1) Multiply $(x^{2} + p x + q)$ with $x$ , to get $x^{3}$ , Remainder $= r$
Clearly, degree $(r) = 0 <$ degree $(x^{2} + p x + q) = 2$
$∴$ , Division cannot be proceeded further.

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