if x³+6x²+4x+k is exactely divisible by (x+2) then k=
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let P(x) = x^3+6x^2+4x+k
IF (x+2) is the factor of p(x) then x+2=0
x = -2
by remainder theorem P(-2) = 0
(-2)^3+6(-2)^2+4(-2)+k = 0
-8+6(4)-8+k = 0
-8+24-8+k = 0
8+k = 0
k = -8
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REMAINDER THEOREM AND POLYNOMIALS.
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