Homework Help

How do you factor the expression: -20x^2 - 27x- 6?

user profile pic

rawrhappy | Student, Grade 10 | Honors

Posted March 3, 2012 at 3:01 PM via web

dislike 0 like

How do you factor the expression: -20x^2 - 27x- 6?

Tagged with factoring; trinomial, math

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 3, 2012 at 9:50 PM (Answer #1)

dislike 0 like

The expression -20x^2 - 27x - 6 can be written as -1*(20x^2 + 27 - 6). To write this in the form of two terms where the order of x is 1 is possible only to do with the roots of the expression. The roots of the expression -20x^2 - 27x - 6 are not rational values.

x1 =` -27/40 + sqrt(27^2 - 4*6*20)/40` = `-27/40 + sqrt 249 / 40`

x2 = `-27/40 - sqrt 249/40`

The expression would have to be written as `-1*(x + 27/40 - sqrt 249/40)(x + 27/40 + sqrt 249/40)`

The factorized form of -20x^2 - 27x - 6 is `-1*(x + 27/40 - sqrt 249/40)(x + 27/40 + sqrt 249/40)`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes