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

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


   



Question 996333: p(x)=3(xsquared+10x+5)-5(x-k)
In the polynomial p(x) defined above, k is a constant. If p(x) is divisible by x, what is the value of x?

Answer by ikleyn(52897) About Me  (Show Source):
You can put this solution on YOUR website!
.
p(x)=3(xsquared+10x+5)-5(x-k)
In the polynomial p(x) defined above, k is a constant. If p(x) is divisible by x, what is the value of x?
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Probably,  you want to ask   ". . . what is the value of  k?"
(otherwise your question does not make sense . . ./:).

In order the polynomial  p(x)=3%28x%5E2%2B10x%2B5%29-5%28x-k%29  would be divisible by  x,  its constant term must be zero.  In other words,

5 - 5*(-k) = 0,

which gives

k = -1.