Question

How does the structure of a trinomial with a leading coefficient of 1 and a positive constant help to factor it?

Answer 1

Answer:

See explanation

Step-by-step explanation:

If a quadratic trinomial has a leading coefficient of 1 and a positive constant, then it is very easy to factor.

You just have to look for two factors of the constant term that add up to the coefficient of x( the middle term).

Then you write as factors.

For instance;

${x}^{2} +5 x + 6$

To factors of 6 that add up to 5 are 2 and 3.

Therefore the factorization is:

$(x + 2)(x + 3)$