SOLUTION: Ok, I have 4 more problems on my Graphing Quadratics worksheet. And it's just factoring the equation. Here's one I don't understand: 7x^2 - 43x - 42 = 0 I forget how to facto

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Ok, I have 4 more problems on my Graphing Quadratics worksheet. And it's just factoring the equation. Here's one I don't understand: 7x^2 - 43x - 42 = 0 I forget how to facto      Log On


   



Question 757114: Ok, I have 4 more problems on my Graphing Quadratics worksheet. And it's just factoring the equation. Here's one I don't understand:
7x^2 - 43x - 42 = 0
I forget how to factor that problem, and a few of these:
7a^2 - 59a + 24 = 0
5n^2 + 31n - 28 = 0
5v^2 - 8v - 21 = 0
Help me with this, and more tips to factor faster? Thanks so much! I need it for my Algebra 1 class.

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Just helping with this one: 7x%5E2+-+43x+-+42+=+0

Requiring two binomials, one with leading term 7x and other with leading term x.
The -42 contant term in the trinomial means you need to find which factorizations of -42 will make the two binomials work.

42=2*21
42=6*7
42=3*14
maybe also 42=1*42

You may need 6 to 8 combinations to try. You could also try synthetic division if you know it, but not likely if you're just in Algebra 1.

Trying: (7x_____2)(x____21_)
2x and 63x ?
No, not work.

Try: (7x_____21)(x_____2)
21x and 14x
No.

Try: (7x____3)(x____14)
3x and 98x
NO.

Try: (7x_____14)(x_____3)
7x and 14x
Not useful.

Try: (7x____6)(x_____7)
6 and 49
Looks like might work.
NOW Which sign goes where? You want 6 and 49 somehow to give you -43.