Question

Factor completely 3x2 + 5x + 1.

(3x + 1)(x + 1)

(3x + 5)(x + 1)

(3x − 5)(x + 1)

Prime

Answer 1

Factor completely: 3x2 + 5x + 1
multiples of 1:
1*1=1 1+1=2

3x2 + 5x + 1 can not be factored anymore, it's prime

Answer 2

(D)

Explanation:

The quadratic equation is in the form :

`(x+p)(x+q)`

`x^2+px+qx+pq`

`x^2+(p+q)x+pq`

and In the above, (p + q) = b and pq = c.

To factor a quadratic, we'll need to start by finding the two numbers (being the p and the q above) that add up to equal b, where those numbers also multiply to equal c.

Since, both 3 and 5 in the given equation
`3x^2+5x+1` are prime numbers, thus the given equation cannot be factorised because of the prime nature.

Hence, option D is correct.