Question

How do you factor `2x^2+9x+10`?

Answer 1

`(2 x + 5) ( x +2)`

Explanation:

In the form `'Ax^2 + Bx + C '` both `B and C` are +

That the C is + means that either both terms are positive or both
terms are negative.
The B is positive so this means that both terms must be positive.

The sum of the products of the factors must equal 9 .

The combination that equals 9 is

`2 xx2` and `5 xx 1`

`4 +5 = 9` so

`( 2x +5 ) xx ( x + 2`)