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Merge branch 'master' of ssh://charles/tank/andrew/school/notes
author
Andrew Lorimer
<andrew@lorimer.id.au>
Thu, 3 Jan 2019 02:56:05 +0000
(13:56 +1100)
committer
Andrew Lorimer
<andrew@lorimer.id.au>
Thu, 3 Jan 2019 02:56:05 +0000
(13:56 +1100)
methods/polynomials.md
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a/methods/polynomials.md
b/methods/polynomials.md
index c312123e90be1a80fb043d2488cc617711b66744..b80ea637836ed521e4161cdf9b0817a2dd93481d 100644
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methods/polynomials.md
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methods/polynomials.md
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#### 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):** $ax^2+bx+c=a(x-{b\over2a})^2+c-{b^2\over4a}$