SOLUTION: In polynomial p(x) = 3(x^2 + 10x + 5) - 5(x-k) , k is a constant. If p(x) is divisible by x, what is the value of k?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: In polynomial p(x) = 3(x^2 + 10x + 5) - 5(x-k) , k is a constant. If p(x) is divisible by x, what is the value of k?       Log On


   

Question 1120261: In polynomial p(x) = 3(x^2 + 10x + 5) - 5(x-k) , k is a constant. If p(x) is divisible by x, what is the value of k?

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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The fact that the polynomial p(x) is divisible by "x" means that its constant term is zero.


The constant term of this polynomial is (5 + 5k),  so,  5 + 5k  must be equal to zero:


    5 + 5k = 0.


Hence,  k = -1.

Solved.