AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Division

AHSME 1983

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
geometry
Mathematical analysis
pi
Division
Elementary arithmetic
Fraction
Numbers
Circle
religion

USA AIME 1983 1 Let x, y, and z all exceed 1 and let w be a positive number such that logxw = 24, logy w = 40, and logxyz w = 12. Find logz w. 2 Let f(x) = |x? p|+ |x? 15|+ |x? p? 15|, where 0 < p < 15. Determine the minimum value taken by f(x) for x in the interval p ? x ? 15. 3 What is the product of the real roots of the equation x2 + 18x+ 30 = 2 ? x2 + 18x+ 45? 4 A machine-shop cutting tool has the shape of a notched circle, as shown. The radius of the circle is ? 50 cm, the length of AB is 6 cm, and that of BC is 2 cm. The angle ABC is a right angle. Find the square of the distance (in centimeters) from B to the center of the circle. A B C 5 Suppose that the sum of the squares of two complex numbers x and y is 7 and the sum of

Rational Functions

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
Abstract algebra
Algebra
Division
Polynomial
Fraction
Rational function
Number
Partial fraction
Algebraic number
education

Extending function arithmetic to division results in the family of "rational" functions (Quotients of polynomials) with the property that Let be the degree of the numerator and be the degree of the denominator A rational function is said to be: Strictly proper if Proper if Improper if Any rational function which is not strictly proper can be expressed as the sum of a polynomial and a strictly proper rational function Given with Let be the result of the quotient and be the remainder of the same quotient, then EXAMPLE: Any strictly proper rational function can be expressed as the sum of simpler rational functions whose denominators are quadratic or linear polynomials Display Mode:
Subscribe to RSS - Division

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!