Factor the trinomials COMPLETELY. Find GCF too. 4y^2+4y-120 and 5r^2+39r-8

Question

PLEASEE HELP!!! Need the answer 

Answer 1

4y² + 4y - 120

 

 

The factor that each term in the polynomial have in common is 4.  We can take this out as the GCF.

 

4(y² + y - 30)

 

 

Next, we can factor out the term in parenthesis using FOIL.

 

4(y + 6)(y - 5)

 

 

Second Polynomial

 

5r² + 39 - 8

 

 

We factor using FOIL.  The first terms of each binomial when multiplied must give the product of 5r².  The last terms when multiply together must give the product of -8, but the sum of the products of the outer and inner terms must be 39.

 

(5r - 1)(r  + 8)