SOLUTION: Find the value of k if (x-1) is a factor of 4x3+ 3x2-4x +k.

Question 984481: Find the value of k if (x-1) is a factor of 4x3+ 3x2-4x +k.
Found 2 solutions by srinivas.g, ikleyn:
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!
Given Expression f(x) =
if (x-1) is factor of above expression
then if we put x=1 in the above expression , then the expression should be 0
hence

k= -3
Result : k=-3
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!

The fact that    is a factor of    means that 1 is the root of this polynomial, i.e.

= .

It gives you k = -4 - 3 + 4 = -3.

Answer. k = -3.

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