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If x+1 is a factor of ax^(3)+x^(2)-2x...

If x+1 is a factor of `ax^(3)+x^(2)-2x+4a-9`, then value of a .

A

-9

B

0

C

6

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Let ,p(x) `=ax^(3)+x^(2)-2x+4a-9`
Since , x+1 is a factor of p(x) , then put p(-1) =0
`therefore a(-1)^(3)+(-1)^(2)-2(-1)+4a-9=0`
`implies -a +1+2+4a-9=0`
`implies 3a-6=0implies3a=6`
`implies a(6)/(3)=2`
Hence , the value of a is 2.
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