SOLUTION: Help! Rewrite the middle term as the sum of two terms and then factor completely. 6x^2-7x-3 Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Help! Rewrite the middle term as the sum of two terms and then factor completely. 6x^2-7x-3 Thank you      Log On


   



Question 105100: Help!
Rewrite the middle term as the sum of two terms and then factor completely.
6x^2-7x-3
Thank you

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2-7x-3---so, this causes you problem?
Please read my lesson, "Factoring trinomials: SHORTCUT!!!" firat then go back to this page.
By the quadratic formula,
x=%287%2B-sqrt%287%5E2-4%2A6%2A%28-3%29%29%29%2F%282%2A6%29
x=%287%2B-sqrt%2849%2B72%29%29%2F%2812%29
x=%287%2B-sqrt%28121%29%29%2F%2812%29
x=%287%2B+11%29%2F%2812%29 or x=%287-11%29%2F%2812%29
x=18%2F12 or x=-4%2F12
x=3%2F2 or x=-1%2F3
If x=3%2F2,
2x-3=0
If x=-1%2F3.
3x%2B1=0
Thus,
6x%5E2-7x-3=%282x-3%29%283x%2B1%29

Power up,
HyperBrain!