Question

How do you factor `6c^2 -10c-4`?

Answer 1

`6c^2-10c-4) = (2)(3c+1)(c-2)`

Explanation:

`6c^2-10c-4`
extract the obvious common constant factor of `2`
`color(white)("XXXX")` `=2(3c^2-5c-2)`
we are looking for factors of 3 (only obvious ones are 1 and 3)
and factors of 2 (again only 1 and 2 are obvious)
that can be arranged as two pairs (one factor from each set) which hs a difference of -5
`color(white)("XXXX")` `=2(3c+1)(c-2)`