Question

Factor the Trinomial

Answer 1

Answer:

(2x+1)(x+3)

Step-by-step explanation:

Not much explaining for that...

Answer 2

We can factor this as the product of 2 binomials.

Notice that we have a coefficient on our x² term.

This means that we will have to consider different factors of our

constant term as well as the different factors for our x² term.

2x² factors as 2x · x and 3 factors as 3 · 1.

The factors of 2x² will go first and the factors of 3 will go next.

So we have (2x + 3)(x + 1).

Notice however if you switch the order of the factors for 3, in other words think of 3 as 1 · 3, you get a completley different problem.

This gives you (2x + 1)(x + 3).

So one of these two binomials represents our answer.

We can use the F.O.I.L. method to see which one mathces up.

Foiling the second binomial gives is 2x² + 6x + x + 3 or 2x² + 7x + 3.

Since this matche sup with ur original trinomial, it's our answer.