Question

How do you factor `-24x^3 + 2x + 47x^2`?

Answer 1

Given `-24x^3+2x+47x^2`

Extract the obvious common term `(-x)` and re-arrange in normal sequence:
`= (-x)(24x^2-47x-2)`

Recognize that `(-47) = (color(red)(24)xxcolor(blue)((-2))) +(color(red)(1)xxcolor(blue)(1))`
`=(-x)(color(red)(24x+1))(color(blue)(1x-2))`