factor.
6x^2-13x+6
explain the steps please?

Question

factor. 
6x^2-13x+6
explain the steps please?

anonymous · Answer

where did you get that expression?...

anonymous · Answer

...wat?

ajprincess · Answer

Let ax^2+bx+c be an expression.
a*c=d
U need to find two factors, e and f of d such that
e+f=-13.K
Nw let us come to ur example.
a=6
c=6
d=a*c
  =6*6
  =36
factors of 36=(1,2,3,4,6,9,12,18,36,-1,-2,-3,-4,-6,-9,-12,-36)
e+f=-13
-4-9=-13
U can split the expression in this way.
6x^2-4x-9x+6
=2x(3x-2)-3(3x-2)
=(2x-3)(3x-2)
Is that clear?

maheshmeghwal9 · Answer

oops sorry i didn't noticed that; I take back my words.:)
Today i m feeling giddy.
Deserve a medal @ajprincess

ajprincess · Answer

It's alright. that sometimes happen. thanx for the medal @maheshmeghwal9.:)

anonymous · Answer

haha you guys are funny. I need some time to process this... hm LOL i'm stupid so haah

maheshmeghwal9 · Answer

yw & thanx:)

ajprincess · Answer

yw too.:)

maheshmeghwal9 · Answer

^_^

maheshmeghwal9 · Answer

$$\color{red}{6x^2-13x+6.}$$$$\implies 6x^2-9x-4x+6.$$$$\implies 3x(2x-3)-2(2x-3).$$$$\implies \color{blue}{(3x-2)(2x-3).}$$

maheshmeghwal9 · Answer

so i gt a medal wow.
thanx @ajprincess 
thanx @Steeben for asking such a good question.

ajprincess · Answer

yw and u deserv it.:)

ajprincess · Answer

Is that clear @steeben?