Question

Can you factorise 3x²+5x+2

Answer 1

Yes, (3x + 2)(x + 1).

Explanation:

1. You're going to need to find two numbers that add to equal 5. The best option here is 2 and 3.

2. Separate the equation into groups. Right now, you have
`3x^2 + 5x + 2`. To separate into groups, you write
`(3x^2 + 3x) + (2x + 2)`.

3. Now, from the first set of parenthesis, you can factor out 3x. This gets you
`3x(x + 1)`. The second set of parenthesis you can factor out the 2. This gets you
`2(x+1).`

4. Now, you see that you have (3x + 2)(x + 1).

Hope this helps! Let me know if you have any questions.