Factoring with (-1) to Rewrite a Polynomial
Factoring with negative numbers. Using negative one to change the signs of each term in an expression.
Practical Problem: Finding the Speed of the Wind
A practical problem involving two airplanes requires finding their true speed after factoring in wind speed. The rate, time, and distance formula is used to solve the problem.
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.
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...
Multiplying by the Least Common Denominator to Get a Quadratic Equation
The steps involved in solving an equation by multiplying by the least common denominator to get a quadratic equation and checking the solution are detailed.
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.
Factor: x2 5xy 4y2
Factoring a trinomial with two different variables: x2 5xy 4y2.
Solve: m2 7m 12 = 0
Practice solving a quadratic equation: m2 7m 12 = 0.
Adding Rational Expressions with Complicated Denominators
An example of adding rational expressions that have binomials and trinomials in the denominator is illustrated.
Solve: 2x2 - 15x 18 = 0
Practice solving a quadratic equation: 2x2 - 15x 18 = 0