Factoring Problems
Factoring polynomials using three examples to practice procedures and techniques. Be sure the polynomial has been simplified before factoring. Remember that some expressions are not factorable.
Factoring before Multiplying Rational Expressions
If a rational expression is more complicated, factoring before multiplying might be indicated.
Factoring a Denominator to Add Rational Expressions
The process of working with a rational expression that contains a quadratic trinomial in the denominator is illustrated.
Factoring by Inspection
Sometimes the greatest common factor is immediately recognizable. Definition and demonstration of factoring by inspection.
Factoring with (-1) to Rewrite a Polynomial
Factoring with negative numbers. Using negative one to change the signs of each term in an expression.
Factoring Quadratic Equations Review
Two methods of solving quadratic equations are factoring and finding the square root on each side; reviewed here.
Factoring Review
A review of factoring of numbers and polynomials.
Practical Problem: Expanding a Parking Lot
Using a quadratic equation to solve a practical problem involving enlarging a parking lot. Checking the solution to be sure it makes sense in the context of the problem.
Practical Problem: The Path of a Golf Ball
Using a quadratic equation to describe the relationship between variables in a practical problem involving the flight time of a golf ball.
Factor: b2 9b 20
A quadratic trinomial with a leading coefficient of 1 is factored, producing a four-term polynomial. The factor is then checked by multiplying using the FOIL method.