The equation which shows the one way to determine the factors of provided equation by grouping is,
[tex]2x^2(6x-1)+3(6x-1)[/tex]
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The provided polynomial equation is,
[tex]12x^3 - 2x^2 +18x - 3[/tex]
To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.
[tex]12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)[/tex]
Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,
[tex]2x^2(6x-1)+3(6x-1)[/tex]
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
