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show work by factoring completely

30x^3 + 22x^2 + 4x​

Sagot :

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].

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