Question

find the value of a if x+2 is a factor of 4x^4+2x^3-3x-48x+59​

Answer 1

Solution :

Let p(x) = 4x⁴+2x³-3x²-48x+59

If x+2 is a factor of p(x)

then p(-2) = 0

=> 4(-2)⁴+2(-2)³-3(-2)²-48(-2)+59

= 4×16-2×8-3×4+96+59

= 64-16-12+96+59

= 191

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