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can you factorise 3x²+5x+2

Sagot :

Answer:

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

Step-by-step 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 [tex]3x^2 + 5x + 2[/tex]. To separate into groups, you write  [tex](3x^2 + 3x) + (2x + 2)[/tex].

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

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

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

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