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