How do you divide (x ^ { 3} + 5x - 1) \div ( x - 1)?

1 Answer
Dec 28, 2017

(x^3+0x^2+5x−1)/(x−1)=x^2+x+6+5/(x-1)

Explanation:

(x^3+0x^2+5x−1)÷(x−1)=x^2+x+6
(x^3-x^2)/
color(white)(.)0+x^2+5x-1
color(white)(.......)(x^2-x)/
color(white)(........)0+6x-1
color(white)(..............)(6x-6)/
color(white)(.................)(0+5)/

(x^3+0x^2+5x−1)/(x−1)=x^2+x+6+5/(x-1)