How do you factor 6x3+29x2+23x30=0?

1 Answer
Oct 3, 2015

Technically, you factor 6x3+29x2+23x30 to solve 6x3+29x2+23x30=0

Step 1: find a linear factor
Step 2: factorise and factorise

Explanation:

6x3+29x2+23x30=0

By inspection
6(3)3+29(3)2+23(3)30
=162+2616930=0

Thus (x+3) is a factor

By inspection
(x+3)(6x2+11x10)=0
(x+3)(3x2)(2x+5)=0
x=3 orx=23 or x=52