Is it possible to factorise this quadratic:

x^2+2x+3

Thanks in advance for any help!

Printable View

- Sep 10th 2008, 08:25 AMthebof1993Factorisation problem!
Is it possible to factorise this quadratic:

x^2+2x+3

Thanks in advance for any help! - Sep 10th 2008, 08:27 AMMoo
- Sep 10th 2008, 08:30 AMthebof1993
Wow that was quick thank you. Hang on how does that give me 2x?

- Sep 10th 2008, 04:34 PMProve It
Do you remember the Perfect Squares rule?

$\displaystyle (a+b)^2 = a^2 + 2ab + b^2$.

$\displaystyle x^2+2x+3 = x^2+2x+\left(\frac{2}{2}\right)^2-\left(\frac{2}{2}\right)^2+3$

$\displaystyle =x^2+2x+1^2-1^2+3$

$\displaystyle =(x+1)^2-1+3$ by using the Perfect Squares Rule.

$\displaystyle =(x+1)^2+2$ - Sep 10th 2008, 07:52 PMmr fantastic
- Sep 10th 2008, 10:00 PMMoo
- Sep 10th 2008, 10:10 PMmr fantastic