SOLUTION: When f(x)=2x^3-11x^2-4x+k is divided by x+2, the remainder is -4. What is the value of k? please show your work choices are (a) 48 (b) -48 (c) 56 (d) -56

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: When f(x)=2x^3-11x^2-4x+k is divided by x+2, the remainder is -4. What is the value of k? please show your work choices are (a) 48 (b) -48 (c) 56 (d) -56      Log On


   



Question 968984: When f(x)=2x^3-11x^2-4x+k is divided by x+2, the remainder is -4. What is the value of k? please show your work
choices are (a) 48 (b) -48 (c) 56 (d) -56

Answer by amarjeeth123(570) About Me  (Show Source):
You can put this solution on YOUR website!
By using remainder theorem we have f(-2)=-4
2(-2)^3-11(-2)^2-4(-2)+k=-4
-16-44+8+k=-4
k-52=-4
k=48
Answer=(a)