Question

Express the product of (x + 3)
and
(3+5) as a trinomial in simplest form.

Answer 1

The answer would be 8x + 24. And it's not a trinomial form. Why? Maybe the given is not just (3+5), it's (3x+5). So that we can get trinomial product.

Sol.

(x + 3) (3x + 5)

Each parenthesis has a binomial (two numbers)

A. Note that whenever you have two parenthesis next to each other like this, it implies factoring. So let's factor.

3x^2 + 5x + 9x + 15

We get a quartnomial (containing 4 numbers), but we're looking for a trinomial. Can we reduce this?

B. Yeah, so we reduce

3x^2 + 14x + 15

There you go, this is a trinomial.