At the high school level
quadratic equations are useful in displaying the teacher's facility in proving the
quadratic formula, by
completing the square.
No thanks necessary.
Questions (I'd rather not make changes to the page since it's out of my area of expertise):
- Can I have more examples please? See below.
- What are polynomials good for? Describing some kinds of relations between variables. Like much of math, we present definitions and techniques and leave the applications to others.
- Maybe an example of a high school textbook problem involving polynomials would help orient me...just a suggestion, feel totally free to ignore it.
Further examples of polynomials (some are monomials which form a special case with only one term):
- Area of a square = side2
- Volume of a cube = side3.
- Area of a square with its lower left corner at the point (x,x) and its upper right corner at (y,y) = (y-x)2 = y2-2xy+x2.
- This is a polynomial in the two variables, x and y.