Given that 2x-1 is a factor of x^3-3x^2+bx-b, use full sentences to describe the steps and the theorem you would use to determine the value of b algebraically.

Answer 1

the Remainder Theorem says that if x-a is factor of p(x), then p(a) = 0
so evaluate p(1/2) and evaluate b so the remainder is zero.

Answer 2

thanks