Question

Factor the polynomial. 24w8 + 30w6

Answer 1

The answer to the question is c

Answer 2

Answer: $6w^6(4w^2+5)$

Step-by-step explanation:

The given polynomial : $24w^8 + 30w^6$

The prime factorization of the coefficients of terms present in the polynomial is

$24=2\times2\times2\times3\\\\\ 30=2\times3\times5$

The GCF of (24,30)=$2\times3=6$

The GCF of $(w^8,w^6)=w^6$

Then , the GCF of $(24w^8, 30w^6)=6\ w^6$

Now, taking $6\ w^6$ greatest common factor out from the terms , we get

$6w^6(4w^2+5)$