Respuesta :
The factor of the provided polynomial completely by taking out the greatest common factor from the polynomial is,
[tex](x+ 5)(7x^2+3)[/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]21x^3+ 35x^2 +9x +15[/tex]
Take out the common number from the above expression. As the greatest common factor of the above polynomial is 7 x² (21 x³, 35x²) and 3 (9, 15) which can divide the terms. Therefore,
[tex]7x^2(x+ 5) +3(x +5)[/tex]
Now take out the common group (x+5). Therefore, the equation become,
[tex](x+ 5)(7x^2+3)[/tex]
Thus, the factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,
[tex](x+ 5)(7x^2+3)[/tex]
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
