factor by grouping 14r^2-45r+14?

Hi,

Your problem as written does not factor.
14r² - 45r + 14


However, if it was supposed to be 14r² - 45r - 14, then the factors are:

(2r - 7)(7r + 2) <==ANSWER

I hope that helps!! :-)

14r^2-45r+14 = 14(r^2 -(45/14)r + 1)
= 14[r^2 -(45/14)r + 45^2/28^2 -45^2/28^2 + 1]
= 14[(r - 45/28)^2 - 1241/784]
= 14[(r -45/28 - sqrt(1241)/28][(r -45/28 + sqrt(1241)/28]

stop using the word "grouping" I thought "grouping" refer to expressions with 4 terms and you group together 2 at a time.

You can factor this if it is 14r^2 - 45r - 14
then it is (7r-2)(2r+7)

14r^2 - 45r + 14
= cannot be factored