Question

Factor 6x2 − 31x + 35.

Answer 1

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:

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

Answer 2

The answer to the question