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Factor 72m3n2p5 - 48mn5p3
01:32

Factor 72m3n2p5 - 48mn5p3

Practice factoring: 72m3n2p5 - 48mn5p3

Factor 27x10y3z15 - 9x9y3x9
00:54

Factor 27x10y3z15 - 9x9y3x9

Practice factoring: 27x10y3z15 - 9x9y3z9

Factor by Grouping
00:24

Factor by Grouping

Summary of the procedure for factoring by grouping.

Factor 35x   15y - 20z
01:29

Factor 35x 15y - 20z

Demonstration of factoring a polynomial with three terms that share a common factor: 35x 15y - 20z.

Thoroughly Check for Common Factors
01:45

Thoroughly Check for Common Factors

Be thorough when checking for common factors, especially when factoring by inspection. You have not factored completely until no common factors remain.

Factoring Polynomials - The Distributive Law
01:13

Factoring Polynomials - The Distributive Law

Factoring is the process of writing a polynomial as a product of its factors. The distributive law is one of a number of ways to factor polynomials.

Rational Numbers Review
01:06

Rational Numbers Review

In a rational number, the numerator can be any integer and the denominator can be any integer except zero. A rational expression is like a rational number. In a rational expression, the numerator and denominator can be any monomial or polynomial.

Factor: 5y2   6y   5xy   6x
01:12

Factor: 5y2 6y 5xy 6x

Practice factoring: 5y2 6y 5xy 6x.

Factor: xy   7x   7y   x2
02:11

Factor: xy 7x 7y x2

Practice factoring: xy 7x 7y x2. Two different factorable groups are demonstrated.

Factor: 3xy – 9x   6y - 18
03:09

Factor: 3xy – 9x 6y - 18

Sometimes a greatest common factor for a polynomial expression can be found before any terms are grouped. This can lead to parentheses inside of parentheses, which can be confusing. Using brackets as a substitute for a set of parentheses can help to...