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Find the remainder when x^3 – ax^2 + 6x – a is divided by x – a. - CBSE Class 9 - Mathematics

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Question

Find the remainder when x3 – ax2 + 6x – a is divided by x – a.

Solution 1

Let p(x) = x3 – ax2 + 6x – a

x - a = 0

∴ x = a

∴ Remainder = (a)3 - a(a)2 + 6(a) - a

                   = a3 - a3 + 6a - a

                   = 5a

Therefore, the remainder obtained is 5a.

Solution 2

By long division,

Therefore, when x3 − ax2 + 6x − is divided by x − a, the remainder obtained is 5a.

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Solution Find the remainder when x^3 – ax^2 + 6x – a is divided by x – a. Concept: Remainder Theorem.
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