For this case we must factor the following expression:
[tex]6x ^ 2-31x + 35[/tex]
We must change the term of the medium by the sum of two numbers that when multiplied give as result [tex](6) (35) = 210[/tex], and when summed give as result -31.
These numbers are: -21 and -10
[tex](-21) (- 10) = 210\\-21-10 = -31[/tex]
So:
[tex]6x ^ 2-10x-21x + 35[/tex]
We take common factor on both sides:
[tex]2x (3x-5) -7 (3x-5)\\(2x-7) (3x-5)[/tex]
So, [tex]6x ^ 2-31x + 35 = (2x-7) (3x-5)[/tex]
Answer:
[tex](2x-7) (3x-5)[/tex]
