SOLUTION: You helped me and I am stuck again. Sorry. I do not understand how I can rearrange factors. I tried the info you gave before but cannot get these two. Factor: -6x^2 +13x -2 -5x^2

Algebra ->  Equations -> SOLUTION: You helped me and I am stuck again. Sorry. I do not understand how I can rearrange factors. I tried the info you gave before but cannot get these two. Factor: -6x^2 +13x -2 -5x^2      Log On


   



Question 733364: You helped me and I am stuck again. Sorry. I do not understand how I can rearrange factors. I tried the info you gave before but cannot get these two. Factor:
-6x^2 +13x -2
-5x^2 +x +18
Thank you so much.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the lead coefficient is negative, first take -1 out.



Multiply the lead coefficient by the constant term: 6 times 2 is 12.

List the possible factor pairs for the product of the lead coefficient and the constant term:

1 and 12

2 and 6

3 and 4

-1 and -12

-2 and -6

-3 and -4


Add each of the pairs to see if you can find a sum that is equal to the 1st degree term, -13 in this case. -1 and -12 works. Split the 1st degree term:



Divide the polynomial into the sum of two binomials.



Factor any common factors from each of the binomials:



Factor out the binomials:



Do the other one the same way.

John

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