Solve: 3x(x - 2) = 14
The equation 3x(x - 2) = 14 is solved using the quadratic formula.
Factor: 3c2 - 13cd 14d2
Practice factoring a trinomial with two different variables: 3c2 - 13cd 14d2.
Factor: 5y2 6y 5xy 6x
Practice factoring: 5y2 6y 5xy 6x.
Solving a Quadratic Equation Using the Quadratic Formula
Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...
Factor: 9y2 - 15y 4
Practice factoring a trinomial with a negative middle term: 9y2 - 15x 4.
Factor: xy 7x 7y x2
Practice factoring: xy 7x 7y x2. Two different factorable groups are demonstrated.
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...
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.
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 Review
A review of factoring of numbers and polynomials.