SOLUTION: For what value of 'k', the G.C.D. of x^2+x-(2k+2) and 2x^2+kx-12 is x+4?

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: For what value of 'k', the G.C.D. of x^2+x-(2k+2) and 2x^2+kx-12 is x+4?      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 29: For what value of 'k', the G.C.D. of x^2+x-(2k+2) and 2x^2+kx-12 is x+4?
Answer by ichudov(499) About Me  (Show Source):
You can put this solution on YOUR website!
What the problem is really asking you to do is to find the value of k such that both quadratic equations would have a root -4.
Find k such that
(-4)^2+(-4)-(2k+2) = 0
2*(-4)^2+k*(-4)-12 = 0
these are simple linear equations, solve them, I hope that I got them right.