Question

which factorization is equivalent to 6x squared + 7x - 10?

Answer 1

We want to factorize 6x² + 7x - 10

Note that
6x² = x * 6x  or 3x * 2x
10 = 2 * 5     or  1 * 10
We can obtain 7x as (6x)*(2) - (x)*(5) = 12x - 5x = 7x.

Therefore
6x² + 7x - 10 = (6x - 5)(x + 2)

Answer: (6x - 5)(x + 2)