Question

Factor completely 3x^2 + 5x + 1. (3x + 1)(x + 1) (3x + 5)(x + 1) (3x − 5)(x + 1) Prime

Answer 1

`\large \boxed{\sf Prime}`

Explanation:

`3x^2 + 5x + 1`

We need to find two numbers that add to 5 and multiply to get 1.

There are no real numbers.

The expression cannot be factored. The expression is prime.

Answer 2

prime

Explanation:

3x^2 + 5x + 1

3x^2 factors in to 3x and x

1 factors into 1 and 1

( 3x + 1) ( x+1)

We need to verify the middle is 5

3x+1x = 4x

so this is not true

We cannot factor this so it is prime