Question

Use the grouping method to factor this polynomial completely.
2x + 6x2 + 5x+15

Answer 1

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

Explanation:

The correct expression is
`2x+6x^2+5+15x`

To use the grouping method, we need to group factorable monomials using parentheses. Notice that 2x and 6x² have a common factor 2x; similarly, 5 and 15x have a common factor 5. We can group each pair of monomials using parenthesis, and then factor each one.

`2x + 6x^2 + 5+15x`

`(6x^2+2x)+(15x+5)`

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

Now we can factor the common monomial
`(3x+1)`:

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