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Question

Find the value of P for which polynomial x3+x23xP is exactly divisible by polynomial (x+3).

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Solution

Consider the given polynomial.

x3+x23xP

Therefore, consider the division shown below.

If (x+3) completely divides x3+x23xP, then

9P=0

P=9

Hence, the required value of P is 9.
1025066_1057300_ans_a873b77698234e408229692ec36ae57f.PNG

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