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Question

Check whether x2x+1 is a factor in x33x2+3x2

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Solution

Given polynomial is x33x2+3x2.
To find out: Whether x2x+1 is a factor of the given polynomial or not.

x2x+1 will be a factor of x33x2+3x2 when the remainder is zero.

Dividing x33x2+3x2 by x2x+1, as shown in the figure. We get:
Quotient as x2.
and Remainder as 0.

Since the remainder is 0, x2x+1 is a factor of x33x2+3x2.

999931_1057647_ans_a03f6283bbc94a3daf90d7112cde5e72.png

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