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Find the remainder when x^3-ax^2+6x-a is divided by x-a.

Question

Find the remainder when $x^{3} - a x^{2} + 6 x - a$ is divided by $x - a$ .

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Find the remainder when

x^{3} - a x^{2} + 6 x - a

is divided by

x - a

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

We have

x^{3} - a x^{2} + 6 x - a

Apply remainder theorem

x - a = 0

x = a

Put

x = a

in equation.

(a)^{3} - a (a)^{2} + 6 a - a

= a^{3} - a^{3} + 6 a - a

= 6 a - a

= 5 a

Then reminder is

5 a

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Question Text	Find the remainder when $x^{3} - a x^{2} + 6 x - a$ is divided by $x - a$ .
Answer Type	Text solution:1
Upvotes	151