Answer: [tex]6w^6(4w^2+5)[/tex]
Step-by-step explanation:
The given polynomial : [tex]24w^8 + 30w^6[/tex]
The prime factorization of the coefficients of terms present in the polynomial is
[tex]24=2\times2\times2\times3\\\\\ 30=2\times3\times5[/tex]
The GCF of (24,30)=[tex]2\times3=6[/tex]
The GCF of [tex](w^8,w^6)=w^6[/tex]
Then , the GCF of [tex](24w^8, 30w^6)=6\ w^6[/tex]
Now, taking [tex]6\ w^6[/tex] greatest common factor out from the terms , we get
[tex]6w^6(4w^2+5)[/tex]
