Given:
The expression is
[tex]30x^3+22x^2+4[/tex]
To find:
Factorized form of given expression.
Solution:
We have,
[tex]30x^3+22x^2+4[/tex]
[tex]=2x(15x^2+11x+2)[/tex]
Splitting the middle term, we get
[tex]=2x(15x^2+6x+5x+2)[/tex]
[tex]=2x(3x(5x+2)+1(5x+2))[/tex]
[tex]=2x(3x+1)(5x+2)[/tex]
Therefore, the complete factorized form of given expression is [tex]2x(3x+1)(5x+2)[/tex].
