Let
What you know so far is that , and that
Substituting into the polynomial gives:
Simplify, then solve for a and b. Post your working if you get stuck.
The expression 4x^3+ax^2-5x+b leaves remainders of -8 and 10 when divided by (2x-3) and (x-3) respectively. Calculate the values of a and b.
I've attempted this question a few times by trying to use the factor theorem and then rearranging the equations and subtracting them from each other. But, I couldn't get the right answer.
Thanks.