Question

Which shows one way to determine the factors of 12x3 – 2x2 18x – 3 by grouping?.

Answer 1

The equation which shows the one way to determine the factors of provided equation by grouping is,

$2x^2(6x-1)+3(6x-1)$

What is a factor of polynomial?

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,

$12x^3 - 2x^2 +18x - 3$

To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.

$12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)$

Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,

$2x^2(6x-1)+3(6x-1)$

Learn more about factor of polynomial here;

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