Question

The trinomial 2x^2+13x+6 has a linear factor of x+6. 2x^2+13x+6=(x+6)(?).what is is the other linear factor?

Answer 1

(2x +1)

Explanation:

The first term in the trinomial is the product of first terms, so the missing factor's first term will be ...

2x^2/x = 2x

The last term (constant) in the trinomial is the product of last terms, so the missing factor's constant is ...

6/6 = 1

The missing linear factor is (2x +1).