How do you use synthetic division to divide (5x^3+6x+8)div(x+2)?

1 Answer
Apr 1, 2017

The quotient is =5x^2-10x+26 and the remainder is =-44

Explanation:

Let f(x)=5x^3+6x+8

Let's perform the synthetic division

color(white)(aaaa)-2color(white)(aaaaa)|color(white)(aaaa)5color(white)(aaaa)0color(white)(aaaAAAa)6color(white)(aaAaa)8
color(white)(aaaaaaaaaaaa)________

color(white)(aaaa)#color(white)(aaaaaaa)|#color(white)(aaaa)#color(white)(aaaa)-10#color(white)(aaaaa)20color(white)(aaa)-52
color(white)(aaaaaaaaaaaa)________
color(white)(aaaa)#color(white)(aaaaaaa)|#color(white)(aaaa)5color(white)(aaa)-10color(white)(aaaaa)26color(white)(aaa)color(red)(-44)

f(x)=(x+2)(5x^2-10x+26)-44