SOLUTION: How do you factor the following expression using the FOIL Method? 13x^2-17x-6 -I have already layed out many possible solutions with finding 13x^2 and 6 but cannot for the li

Algebra.Com
Question 879077: How do you factor the following expression using the FOIL Method?
13x^2-17x-6
-I have already layed out many possible solutions with finding 13x^2 and 6 but cannot for the life of me find 17x

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
That has so few possibilities to check.
13 can only form with factors 1 and 13.
-6 can only form with factors -1 & 6; 1 & -6; -2 & 3; or 2 & -3. Which combinations work?
Focus on which of these will give :
(13x-1)(x+6)?
(13x-6)(x+1)?
(13x+1)(x-6)?
(13x+6)(x-1)?
(13x-2)(x+3)?
(13x+2)(x-3)?
(13x-3)(x+2)?
(13x+3)(x-2)?

Are you sure that 13x^2-17x-6 is a perfect square?



SLIGHTLY MORE ADVANCED---------

Discriminant,


Discriminant is 601.
---

You in fact do NOT have a perfect square trinomial, so your trinomial
is not factorable.

RELATED QUESTIONS

I need your help again! Can you please factor this polynomial for me? z³ -... (answered by ankor@dixie-net.com,ikleyn)
how do i factor by using the trial and error method for this problem? Help... (answered by venugopalramana)
How do I do the foil method on the following: (7x^3+5)... (answered by jim_thompson5910)
We're working on polynomials and stuff in class and we're using the foil method. I have... (answered by scott8148)
Please help: how do I factor the following polynomial using any method? x^6 + 125 (answered by Earlsdon)
how do i use the FOIL... (answered by stanbon)
factor the expression 2x^2-13x+6 (answered by jim_thompson5910)
Solve the quadratic equation. 4x^2 = 13x + 12 Please help! I broke it down into... (answered by scott8148)
Megan factored the expression 18x^2+17x-15 as (2x-3)(9x+5). But when Jacob applied the... (answered by ReadingBoosters)