Polynomial division

dash

1. Polynomial division

a) For what values of k is x-2 a factor x^4 – 5x^3 + 3x + k in Q[x]?

b) For what values of k is x+1 a factor of x^4 + 2x^3 – 3x^2 + kx + 1 in Z5[x]

Hurkyl

Dash, you need to show what effort you have put into the problem before we can help you. This is both common sense and site policy. Until you are willing to do so, please stop posting your homework questions.

dash

my problem is that I dont know how to start the problem?

HallsofIvy

Are you saying you do not know how to divide? "Polynomial division" is basically the same as "long division" in arithmetic: choose a "trial quotient" based on the term with the highest power, multiply by the divisor and subtract from the dividend. Repeat.