Question

5x^3+19x^2+16x-10 / 5x-1. Find the quotient and remainder using long divison.

Answer 1

it has to be in the form of quotient+remainder/divisor

Answer 2

Divide as you would a number, you need to find the term to multiply with (5x-1) so that the first term on the left cancels out after each step. First, if you multiply (5x-1) by x^2, you get \[5x^3-x^2\]this cancels out the first term 5x^3, and we get -(-x^2) which is x^2 this adds up with 19x^2 and gives us 20x^2. Then we use 4x and repeat the same steps, and so forth. I have left the lst term for you to figure out, it'll give you the numeric remainder.