Help with factoring exponents. :

Question

Help with factoring exponents. :<
5x^2 - 13x + 6.
Work with me, don't just give me the answer. I need to know how this works.

.sam. · Answer

Factor the quadratic 5x^2-13x+6. The coefficient of x^2 is 5 and the constant term is 6. The product of 5 and 6 is 30. 
The factors of 30 which sum to -13 are -3 and -10. 
So 5x^2-13x+6 = 5x^2-10
x-3x+6 = 5x(x-2)-3(x-2) 

Then factor x-2 from  5x(x-2)-3(x-2)

anonymous · Answer

5x - 3?

radar · Answer

"Factor the quadratic 5x^2-13x+6. The coefficient of x^2 is 5 and the constant term is 6. The product of 5 and 6 is 30. 
The factors of 30 which sum to -13 are -3 and -10. 
So 5x^2-13x+6 = 5x^2-10
x-3x+6 = 5x(x-2)-3(x-2) "

Looking at the next to last line  "So 5x^2 - 13x +6 = 5x^2-10"
Why is this so?  Assuming this is true, then:|dw:1384019325670:dw|