Find the value of a, if x + 2 is a factor of 4x4 + 2x3 - 3x2 + 8x + – InterviewSolution

1.

Find the value of a, if x + 2 is a factor of 4x4 + 2x3 - 3x2 + 8x + 5a.

Answer»

Let, f (x) = 4x⁴ + 2x³ - 3x² + 8x + 5a

f (-2) = 0

4 (-2)⁴ + 2 (-2)³– 3 (-2)² + 8 (-2) + 5a = 0

64 – 16 – 12 – 16 + 5a = 0

5a = - 20

a = -4

Hence,

(x + 2) is a factor f (x) when a = -4.

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