Posted by **Emmalene** on Wednesday, May 6, 2009 at 6:00pm.

Here is what I am trying to factor:

2x^2 + 3x + 1 = 0.

I split the middle term.

2x^2 + 3x - 1x + 1

Then grouped them.

(2x^2 +3x) + (-1x + 1)

Here is where I am having the problem. What should I do next?

Thank you! :-)

- Algebra -
**RickP**, Wednesday, May 6, 2009 at 6:11pm
You did not split the middle term, you added a term "out of the blue".

The numbers to use to split the middle term are 2 and 1. When multiplied together, they give 2 (that is the product of a and c), and when added together they give 3 (that is b).

2x^2 + (2x + 1x) + 1 = 0

regroup

(2x^2 + 2x) + (1x + 1) = 0

pull out the GCF from each parentheses.

2x(x + 1) + 1(x + 1) = 0

not pull out the common factor (x + 1)

(x + 1)(2x + 1) = 0

see if you can take it from there.

## Answer this Question

## Related Questions

- Math - 1.3x^2+17x+10 2.5y^8-125 3.a^2-2ab-15b^2 *Please help me.You have to ...
- Algebra - Rewrite the middle term as the sum of two terms and then factor by ...
- Math - Rewrite the middle term as the sum of two terms and then factor ...
- math - Split the middle term of xsq+5x-1800
- math - How do you factor 2x^2-5x+2? (x-2)(2x-1) how do you figure that out? ...
- algebra - Okay, how do you factor a polynomial when there is a number in front ...
- math - algebra - Please help with this question: Rewrite the middle term as the ...
- math,help,factoring - i need help i don't know how to do the next step. factor ...
- algebra 2 - I am trying to factor the expression -8y^2+28y-60 but can't get an ...
- Factor completely - I am to factor this completely and I am stuck. 2r^3 + 8r^2 +...