Question 207700: factor trinomial with a-c method
3x^2+32x+45
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! factor trinomial with a-c method
3x^2+32x+45
----------------
a time c = 3*45 = 135
-----------------------------
Think of two numbers whose product is 135 and whose sum is -32.
The numbers are 27 and 5
---------------------
Replace the 32y by 27y+5y
---
3x^2+27x+5x+45
---
Factor the 1st two and the last two terms separately:
3x(x+9) + 5(x+9)
---
Factor again:
(x+9)(3x+5)
=====================
Cheers,
Stan H.
=====================
|
|
|