Monthly Archives: February 2015

Factors of Polynomial

How many different polynomials of the form with rational coefficients are factors of the polynomial ? Source: NCTM Mathematics Teacher, February 2006 SOLUTION Putting all the factors together into Eq. There are ways to get a product of degree from the factors … Continue reading

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Sphere and Cube

A sphere of radius and a cube of edge length have the same total surface area. Find in terms of . Source: NCMT Mathematics Teacher, February 2006 SOLUTION Surface area of sphere = Surface area of cube = Answer: square … Continue reading

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Triangle in Three Dimensions

Calculate the area of triangle with the following vertices: , and . Source: NCTM Mathematics Teacher, February 2006 SOLUTION Apply the distance formula in three dimensions Apply Heron’s formula for the area of a triangle with side lengths area = … Continue reading

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Two Right Triangles

Given triangle with right angle and a second right triangle such that both triangles share the same hypotenuse. If , and , find [the length of] in terms of . Source: NCTM Mathematics Teacher, February 2006 SOLUTION Apply the Pythagorean theorem … Continue reading

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Tangent Circles

Determine the sum of the radii of all circles that pass through the points and [at the same time] and are tangent to the -axis. Source: NCTM Mathematics Teacher, February 2006 SOLUTION Any center of the circles lie on the … Continue reading

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Binary Pascal Triangle

Each row in a binary Pascal triangle has a on each end. Each interior value is found by taking the absolute value of the difference of the two numbers immediately above it. If the number of s and s in … Continue reading

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