Factor: c2 - cd c - d
Although a factor of one is not usually written in an expression, it sometimes helps to write it down in order to remember that it is part of the factor and can be used, as demonstrated in the example c2 - cd c - d.
Rules for Multiplying a Longer Expression by a Monomial and Rearranging Polynomials
Multiply a long expression by a monomial by working term-by-term, multiplying each term in the longer expression by the monomial.
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 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 Review
A review of factoring of numbers and polynomials.
More than One Base Inside Parentheses
Simplifying an expression with more than one base contained within parentheses.
Some Polynomials Cannot be Factored
Sometimes there is no way to rearrange or group that produces common factors. A polynomial that cannot be factored down to one term is said to be unfactorable.
Terms Can Be Grouped Differently
There is often more than one way to group a polynomial expression for factoring. The commutative law can be applied to rearrange the terms into different factorable groups.