Factor by Grouping
Summary of the procedure for factoring by grouping.
Factor: xy 7x 7y x2
Practice factoring: xy 7x 7y x2. Two different factorable groups are demonstrated.
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.
Introduction to Factoring Quadratic Trinomials
A quadratic trinomial is a polynomial with three terms. In two of the terms the same variable appears, one that is raised to the second power and the other with an exponent of one. The third term in a quadratic trinomial is a constant. To factor a q...
Factor: ax 3x 3b 3y
A polynomial with four terms can be factored by grouping when there is no factor common to all four terms. The procedure is demonstrated and the process checked using the FOIL method and applying the commutative law.
Factor: xy 18 6y 3x
Practice factoring: xy 18 6y 3x