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Polynomials — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSPolynomials1 Mark
Question
When $p(x) = x^3 - ax^2 + x$ is divided by $(x - a),$ the remainder is:
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Answer

$p(x) = x^3 - ax^2 + x$
$x - a = 0 $
$\Rightarrow x = a$
By the remainder theorem, we know that when $p(x)$ is divided by $(x - a),$ the remainder is $p(a).$
Now $, p(a) = a^3 - ax^2 + a$
$= a^3 - a^3 + a$
$= a$

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