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Question
If x + a is a factor of x4 − a2x2 + 3x − 6a, then a =
Options
0
-1
1
2
Solution
As (x +a) is a factor of polynomial f(x) = x4 − a2x2 + 3x − 6a,
Therefore,
f(-a) = 0
`(-a)^4 - a^2 (-a)^2 +3(-a) - 6a = 0`
`a^4 - a^4 - 3a - 6a =0`
`a =0`
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