SOLUTION: Factor 5x^2 + 34x + 24 This is what I have tried A=5, B=34, C=24 AC=5*24=120 I need to find the product of 120 and who sum is 34 The numbers are 4 and 30, because 4*30=

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor 5x^2 + 34x + 24 This is what I have tried A=5, B=34, C=24 AC=5*24=120 I need to find the product of 120 and who sum is 34 The numbers are 4 and 30, because 4*30=      Log On


   

Question 270620: Factor
5x^2 + 34x + 24


This is what I have tried
A=5, B=34, C=24
AC=5*24=120
I need to find the product of 120 and who sum is 34
The numbers are 4 and 30, because 4*30=120 and 4+30=34
replace middle term with 34x instead of 4x and 30x
5x^2 + 34x +24 = (5x^2 + 4x)+ (30x + 24)
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
5x^2 + 34x + 24
5*24=120; 2 factors of 120 whose sum is 34 are 4 & 30
5x^2+30x+4x+24
=5x(x+6)+4(x+6) factoring by grouping.
=(5x+4)(x+6)
.
Ed