Question

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

Answer 1

Answer:

prime

Step-by-step 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

Answer 2

Answer:

$\large \boxed{\sf Prime}$

Step-by-step 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.