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Question
The value of p when x3 + 9x2 + px - 10 is exactly divisible by (x+ 2 ) is ____
The value of p when x3 + 9x2 + px - 10 is exactly divisible by (x+ 2 ) is ____
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Solution
The correct option is B 9
x3 + 9x2 + px - 10 = (-2)3 + 9(-2)2 + p(-2) - 10
= -8 +36 -2p -10
= -2p + 18
= -2(p-9)
Since the polynomial is exactly divisible by x
⇒ p - 9 = 0
⇒p = 9
9
x3 + 9x2 + px - 10 = (-2)3 + 9(-2)2 + p(-2) - 10
= -8 +36 -2p -10
= -2p + 18
= -2(p-9)
Since the polynomial is exactly divisible by x
⇒ p - 9 = 0
⇒p = 9
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