SOLUTION: How do you factor this completely? 7x^2 + 49x + 42

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you factor this completely? 7x^2 + 49x + 42       Log On


   

Question 146166:
How do you factor this completely?
7x^2 + 49x + 42
Found 2 solutions by nerdybill, scott8148:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
factor the 7:
1 7
.
factor the 42:
2 3 7
.
Look for "some" combination that will give you 49:
7*6=42
1*7 = 7
42 + 7 = 49!
.
(x+6)(7x+7)

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
common factors first __ 7(x^2+7x+6)

factors of 6 that "combine" to give 7 __ 7(x+6)(x+1)