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Q.

If x+1  is a factor of x4+(p−3)x−(3p−5)x2+(2p−9)x+6 , then the value of p is

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a

–4

b

0

c

4

d

2

answer is C.

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Detailed Solution

x+1 is a factor ⇒−1 is the zero of the polynomial ⇒(−1)4+(p−3)(−1)−(3p−5)(−1)2+(2p−9)(−1)+6=0 ⇒p=4
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If x+1  is a factor of x4+(p−3)x−(3p−5)x2+(2p−9)x+6 , then the value of p is