Question

Factor 6x2 − 31x + 35.

Answer 1

the answer to the question

Answer 2

For this case we must factor the following expression:

`6x ^ 2-31x + 35`

We must change the term of the medium by the sum of two numbers that when multiplied give as result
`(6) (35) = 210`, and when summed give as result -31.

These numbers are: -21 and -10

`(-21) (- 10) = 210\\-21-10 = -31`

So:

`6x ^ 2-10x-21x + 35`

We take common factor on both sides:

`2x (3x-5) -7 (3x-5)\\(2x-7) (3x-5)`

So,
`6x ^ 2-31x + 35 = (2x-7) (3x-5)`

Answer:

`(2x-7) (3x-5)`