# 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

## 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

## 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

## 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