Math Polynomials Quiz

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6 Terms

1
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Positive coefficient, even degree

x —> +infinity, f(x) —> +infinity

x —> -infinity, f(x) —> +infinity

(both arrows of parabola pointing up)

2
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Positive coefficient, odd degree

x —> +infinity, f(x) —> +infinity

x —> -infinity, f(x) —> -infinity

(one arrow pointing up and right, other arrow pointing down and left)

3
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Negative coefficient, even degree

x —> +infinity, f(x) —> -infinity

x —> -infinity, f(x) —> -infinity

(both arrows pointing down)

4
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Negative coefficient, odd degree

x —> +infinity, f(x) —> -infinity

x —> -infinity, f(x) —> +infinity

(one arrow pointing up and left, other arrow pointing right and down)

5
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Difference of cubes equation

a³-b³ = (a+b)(a²-ab+b²)

6
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Sum of cubes equation

a³+b³ = (a-b)(a²+ab+b²)