[2A] Advanced Math Formulas

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13 Terms

1
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Standard form of a quadratic equation

y = ax² + bx + c

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Sum of the solutions of a quadratic equation

-b/a

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Product of the solutions of a quadratic equation

c/a

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Factored form of a quadratic equation

y = a(x - b)(x - c)

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Vertex form of a quadratic equation

y = a(x - h)² + k

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“h” value of a quadratic function in vertex form

h = -b/2a

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Special factoring rules

(x + a)² = x² + 2ax + a²

(x - a)² = x² - 2ax + a²

(x + a)(x - a) = x² - a²

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Quadratic formula

x = (-b ± √(b² - 4ac))/2a

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Discriminant of a quadratic equation

√(b² - 4ac)

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Standard form of a polynomial

y = axn-1 + bxn-2 + cxn-3… + d

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Height versus time

h(t) = -at² + bt + c

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Population growth/decline

P(t) = P0rt

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Compounding interest

P(t) = P0(1 + r)t