Question

4. Find the GCF of the polynomial, then factor. 8v^6 + 2^5 - 10v^9

is it -10v^9+8v^6+2V5

Answer 1

-10v^9+8v^6+2v^5

10=5*2
8=2^3
2=2

The common factor is 2 and its least exponent is 1
The least exponent for the variable v is 5

Then, the GFC of the polynomial is 2v^5

Factoring:
2v^5 [ -(10v^9)/(2v^5)+(8v^6)/(2v^5)+(2v^5)/(2v^5) ] =
2v^5 (-5v^(9-5)+4v^(6-5)+1) =
2v^5 (-5v^4+4v+1)