Question

Find the remainder when x3-ax2+6x-a is devide by x-a

Answer 1

Answers 5a
Detailed answer step by step in attached picture
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Answer 2

Given:

Let, p(x) = x³–ax²+6x–a

and g(x) = x–a

To find:

p(x) ÷ g(x)

Solution:

p(x) / g(x) =(x³–ax²+6x–a) / x–a

On Long division

q(x) = x²+6

∴ r(x) = 5a [remainder]