How do you divide (5x^3 – 6 – 5x) ÷ (10 + 5x)?

1 Answer
Aug 4, 2017

The remainder is =-36 and the quotient is =x^2-2x+3

Explanation:

We perform a long division

color(white)(aaaa)5x+10color(white)(aaaa)|5x^3+0x^2-5x-6color(white)(aaaa)|x^2-2x+3

color(white)(aaaaaaaaaaaaaaaa)5x^3+10x^2

color(white)(aaaaaaaaaaaaaaaaaa)0-10x^2-5x

color(white)(aaaaaaaaaaaaaaaaaaaa)-10x^2-20x

color(white)(aaaaaaaaaaaaaaaaaaaaaa)-0+15x-6

color(white)(aaaaaaaaaaaaaaaaaaaaaaaaaa)+15x+30

color(white)(aaaaaaaaaaaaaaaaaaaaaaaaaaaa)+0-36

The remainder is =-36 and the quotient is =x^2-2x+3

(5x^3-5x-6)/(5x+10)=x^2-2x+3-36/(5x+10)