View Full Version : simple polynomial problem


camilus
09-10-07, 02:38 PM
if the polynomial x^3+3x^2+9x+3 is a factor of x^4+4x^3+6Px^2+4Qx + R, what is R(P+Q)?

quadraphonics
09-10-07, 03:16 PM
if the polynomial x^3+3x^2+9x+3 is a factor of x^4+4x^3+6Px^2+4Qx + R, what is R(P+Q)?

Since the first polynomial is given to be a factor of the second, you can divide the second by the first and then find P, Q and R such that all of the coefficients of the remainder come out to be 0. I get 15 for the final answer.

camilus
09-10-07, 03:17 PM
awsome. thanks for the confirmation. I got 15 as well.