Question

"Express the product of 2 +1) and (3x + 1) as a trinomial in simplest form.

A) 6x + 5
B) 6x + 4
C) 5x + 4
D) 5x + 3

Answer 1

The product of 2 +1) and (3x + 1) as a trinomial in simplest form is:

C) 5x + 4

Step-by-step explanation:

The product of (2x + 1) and (3x + 1) can be found by multiplying the terms in each binomial and then combining like terms.

First, multiply the first terms: (2x) * (3x) = 6x^2.

Next, multiply the outer terms: (2x) * (1) = 2x.

Then, multiply the inner terms: (1) * (3x) = 3x.

Finally, multiply the last terms: (1) * (1) = 1.

Combine the like terms: 6x^2 + 2x + 3x + 1.

Now, combine the x terms: 6x^2 + 5x + 1.

The trinomial in simplest form is 6x^2 + 5x + 1. Therefore, the correct answer is C) 5x + 4.