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.
Practice solving a system of equations with the same variable.
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...
A store manager needs to calculate how many bills of each denomination she can get with $100 in order to begin the day with enough change in her cash register, knowing she needs only one $20 bill. The solution is presented step-by-step.
A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.
The terms in a quadratic trinomial can be positive or negative. A quadratic trinomial in which the middle term is negative is factored.
The substitution method can be used when one of the equations in a system has been solved for one of its variables. An example demonstrates.
Complicated word problems are best handled by breaking them into simpler parts, as demonstrated in a rate and time problem. Two different approaches, both using a table to help organize the data, lead to the correct conclusion.
Factoring a quadratic trinomial with a leading coefficient greater than one that has no greatest common factor. In general, whenever factoring a quadratic trinomial with a coefficient greater than one look for a pair of numbers in which the sum is e...
Equations can sometimes be simplified to present the same information in a form that is easier to work with. Simplify whenever possible by combining like terms.