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finish polynomials for methods
author
Andrew Lorimer
<andrew@lorimer.id.au>
Thu, 3 Jan 2019 02:55:32 +0000
(13:55 +1100)
committer
Andrew Lorimer
<andrew@lorimer.id.au>
Thu, 3 Jan 2019 02:55:32 +0000
(13:55 +1100)
methods/polynomials.md
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diff --git
a/methods/polynomials.md
b/methods/polynomials.md
index 6fadf113ac740d0d706f9dcd2c06e298ac431775..0542afc05a3727abcb23282aaa8584b3d3c65807 100644
(file)
--- 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):** $ax^2+bx+c=a(x-{b\over2a})^2+c-{b^2\over4a}$