what is the gcf of x^2+9x+8?

Question

algebra 2 gcf/a=1

Answer 1

There's no common factor of all of the terms, if that's what you're asking.

 

 

Answer 2

x² + 9x + 8

 

To find the GCF, we must find the factors that EACH TERM in the polynomial have in common.

 

Term x² ----->  1, x , x

 

Term 9x ----> 1, 3, 9, x

 

Term 8 -----> 1, 2, 4, 8

 

The factors they have in common is 1.  However, we can factor this polynomial as a product of two binomials.  They will be in the form

 

(x + q)(x + r)

 

where:

 

q + r = 9

q*r = 8

 

q = 1

r = 8

 

Therefore, x² + 9x + 8 = (x + 1)(x + 8)