If f(x) = x4 + kx2 + 6x + 7 has
a remainder of 24 when divided by x+2; find k.
solution
f(x) = x4 + kx2 + 6x + 7
x + 2 = 0
x = -2
f(x) = (-2)4 + k(-2)2 + 6(-2) +
7 = 24
16 + 4k + (-12) + 7 = 24
16 + 4k - 12 + 7 = 24
16 + 4k - 5 = 24
4k + 16 - 5 = 24
4k + 11= 24
4k = 24 - 11
4k = 13
4k = 13
4 4
k = 13/4
hence k=13/4
TRY THIS......................
If f(x) = x4 - kx2 + 3x - 11 has
a remainder of 12 when divided by x+3; find k.
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