From: Andrew Lorimer Date: Thu, 3 Jan 2019 02:55:32 +0000 (+1100) Subject: finish polynomials for methods X-Git-Tag: yr12~289 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/37d8feb5693765d6396de584887203acbde4174f finish polynomials for methods --- diff --git a/methods/polynomials.md b/methods/polynomials.md index 6fadf11..0542afc 100644 --- a/methods/polynomials.md +++ b/methods/polynomials.md @@ -4,7 +4,7 @@ #### Quadratics **Quadratics:** $x^2 + bx + c = (x+m)(x+n)$ where $mn=c$, $m+n=b$ -**Difference of squares:** $a^2 - b=^2 = (a - b)(a + b)$ +**Difference of squares:** $a^2 - b^2 = (a - b)(a + b)$ **Perfect squares:** $a^2 \pm 2ab + b^2 = (a \pm b^2)$ **Completing the square (monic):** $x^2+bx+c=(x+{b\over2})^2+c-{b^2\over4}$ **Completing the square (non-monic):** $ax^2+bx+c=a(x-{b\over2a})^2+c-{b^2\over4a}$