Question

How do you factor the expression `30x^2 + 35x + 10`?

Answer 1

`5(3x+2)(2x+1)`

Explanation:

`5(6x^2+7x+2)` factor out GCF, 5
`5(6x^2+3x+4x+2)` find two integers that ADD to 7, MULTIPLY to 12 `(6*2)`.
`5[3x(2x+1)+2(2x+1)]` group together the first two and last two and factor out common factor
`5(3x+2)(2x+1)`