Question

Find the value of p and q if a2-1 is a factor of pa4-7a3+9a2+qa=0​

Answer 1

Answer:

Given

a²-1 is a factor of given polynomial

=> a²-1 = 0

=> a² = 1

=> a = ±1

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So

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BY [Eq(1)+Eq(2)] we get :-

=> 2p = 2

=> p = 1 _____[ANSWER]

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By Eq(2)

=> 1 + q = -6

=> q = -7 ____[ANSWER]

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