Respuesta :
The factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,
[tex]2x^2(7x^4 +4x+2)[/tex]
What is a 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 a result.
The given polynomial in the problem is,
[tex]14x^6 +8x^3+4x^2[/tex]
Take out the greatest common factor from the above expression. As the greatest common factor of the above polynomial is 2 (14, 8, 4), which can divide each terms. Therefore,
[tex]2(7x^6 +4x^3+2x^2)[/tex]
Now take out the greatest common factor in terms of variable x. The lowest power of x is 2. Therefore, the equation become,
[tex]2x^2(7x^4 +4x+2)[/tex]
Thus, the factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,
[tex]2x^2(7x^4 +4x+2)[/tex]
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
