Question

factor gcf out of polynomial$5 {x}^{3} (3 {x}^{3 + 7 \times + 2)}$

Answer 1

The given polynomial is,

$15x^6+35x^4+10x^3$

Expand the above polynomial.

$5\times3x^3x^3+5\times7x^3x+2\times5x^3$

Find the common factors in each term and write it as the common factor with the remaining terms inside brackets.

$5^{}x^3(3x^3+7x+2)$

The term outside the brackets is the GCF.

So, the GCF of the given polynomial is,

$5x^3$