Question

show work by factoring completely

30x^3 + 22x^2 + 4x​

Answer 1

Given:

The expression is

$30x^3+22x^2+4$

To find:

Factorized form of given expression.

Solution:

We have,

$30x^3+22x^2+4$

$=2x(15x^2+11x+2)$

Splitting the middle term, we get

$=2x(15x^2+6x+5x+2)$

$=2x(3x(5x+2)+1(5x+2))$

$=2x(3x+1)(5x+2)$

Therefore, the complete factorized form of given expression is $2x(3x+1)(5x+2)$.