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Resources tagged with Relations similar to Polynomial Relations:

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Broad Topics > Advanced Algebra > Relations

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Polynomial Relations

Stage: 5 Challenge Level: Challenge Level:1

Given any two polynomials in a single variable it is always possible to eliminate the variable and obtain a formula showing the relationship between the two polynomials. Try this one.

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More Polynomial Equations

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Find relationships between the polynomials a, b and c which are polynomials in n giving the sums of the first n natural numbers, squares and cubes respectively.

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Spot the Difference

Stage: 5 Short Challenge Level: Challenge Level:2 Challenge Level:2

If you plot these graphs they may look the same, but are they?

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Squareness

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?

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Sheep in Wolf's Clothing

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you work out what simple structures have been dressed up in these advanced mathematical representations?


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