Factoring a Denominator to Add Rational Expressions
The process of working with a rational expression that contains a quadratic trinomial in the denominator is illustrated.
Factoring Quadratic Equations Review
Two methods of solving quadratic equations are factoring and finding the square root on each side; reviewed here.
Solve: 9x2 - 24x = -16
Practice solving an equation using the quadratic formula: 9x2 - 24x = -16.
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.
Practical Problem: The Path of a Golf Ball
Using a quadratic equation to describe the relationship between variables in a practical problem involving the flight time of a golf ball.
Factor: b2 9b 20
A quadratic trinomial with a leading coefficient of 1 is factored, producing a four-term polynomial. The factor is then checked by multiplying using the FOIL method.
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: 2k2 - 18k - 72
Factoring a quadratic trinomial with a leading coefficient greater than one.
Not All Quadratic Trinomials Can Be Factored
A quadratic trinomial that cannot be factored is presented and explained.
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.