How do you divide (x^3+6x^2-30x+102)div(x+10) using synthetic division?

1 Answer
Narad T.
Oct 23, 2016

The result (x^3+6x^2-30x+102)/(x+10)=(x^2-4x+10)+2/(x+10)

Explanation:

Let's do the division
x^3+6x^2-30x+102color(white)(aaaaa)∣x+10
x^3+10x^2color(white)(aaaaaaaaaaaaaaa)∣x^2-4x+10
0- 4x^2-30x
color(white)(aa)-4x^2-40x
color(white)(aaaaa)0+10x+102
color(white)(aaaaaaaaa)10x+100
color(white)(aaaaaaaaaaa)0+2

The remainder =2

so the result is (x^3+6x^2-30x+102)/(x+10)=(x^2-4x+10)+2/(x+10)

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