When 10x^3+mx^2-x+10 is divided by 5x-3, the quotient is 2x^2+nx-2 and the remainder is 4. Find the values of m and n.
The quotient multiplied by the divisor added to the remainder should equal the dividend, so:
Expand the right side:
Sub m into initial equation to solve for n:
Collect Like Terms:
Now at this point, I realized that both sides were equal, and that I must have done something very, very wrong ;\. However, I worked through it again and got the same result.
Can someone point out what I'm doing wrong here? This question is driving me nuts.
any help will be much appreciated,