Answer :
The completely factored form of the Wen's polynomial, which has the four terms initial, is,
[tex](6x^2+7)(x-2)[/tex]
What is the factor of polynomial?
The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
Wen is factoring the polynomial, which has four terms.
[tex]6x^3 - 12x^2+ 7x - 14[/tex] '
Take out the greatest common factor from the equation and make separate groups as,
[tex]6x^2(x - 2)+ 7(x - 2)\\(x-2)(6x^2+7)[/tex]
Rearrange the above equation as,
[tex](6x^2+7)(x-2)[/tex]
Thus, the completely factored form of the Wen's polynomial, which has the four terms initial, is,
[tex](6x^2+7)(x-2)[/tex]
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