Question

Factor the polynomial. 24w8 + 30w6

6(4w8 + 5w6)

6w5(4w3 + 5w)

6w6(4w2 + 5)

w6(24w2 + 30)

Answer 1

the answer to the question is c

Answer 2

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

Explanation:

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

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

`24=2*2*2*3\\\\\ 30=2*3*5`

The GCF of (24,30)=
`2*3=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)`