Simplfying rational expressions

[Annie_D]

Homework Statement

6x (squared) +17x+7
_________________
2x sqaured + 7x +3

Homework Equations

Simplify

The Attempt at a Solution

3x+7 is the answer
____
x+3
maybe u can factor 6x by doing 2x (3x) or maybe u don't do that and take 6x (squared +17
_____________
2x squared +7
im not sure

 

[Mark44]

Do you know how to factor trinomials into two binomial factors? That's the key to this problem.

6x² + 17x + 7 = (2x + ?)(3x + ?)

2x² + 7x + 3 = (2x + ?)(x + ?)

Fill in the question marks.

 

[Annie_D]

6x2 + 17x + 7 = (2x + ?)(3x + ?)

2x2 + 7x + 3 = (2x + ?)(x + ?)
(2x + 1) (3x+7)

(2x +1)(x + 3)

ok nice thanks alot