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f(x)=ax^2+bx+c

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is a parabola with a turning point called a vertex.

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axis of symmetry

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equation is

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quadratic equation

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An equation that can be written in the form ax2 + bx + c = 0, where a,b,and c are real numbers and a ? 0

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zero product property

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If the product of two factors is zero, then at least one of the factors must be zero. Ex: If ab = 0, then a = 0 or b = 0.

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factor theorem

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the polynomial function has a factor (x-a) if and only if f(a)=0. thus, (x-a) is a factor of f(x) if and only if x=a is a solution to f(x)=0.

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College Algebra study guide for test 2

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