Solve revenue and distance applications of quadratic equations

A common application of quadratics comes from revenue and distance problems. Both are set up almost identical to each other so they are both included together. Once they are set up, we will solve them in exactly the same...

Solve equations that are quadratic in form by substitution to create a quadratic equation

We have seen three different ways to solve quadratics: factoring, completing the square, and the quadratic formula. A quadratic is any equation of the form , however, we can use the skills learned to solve quadratics to solve problems...

Find a quadratic equation that has given roots using reverse factoring and reverse completing the square

Up to this point we have found the solutions to quadratics by a method such as factoring or completing the square. Here we will take our solutions and work backwards to find what quadratic goes with the solutions. We...

Factor trinomials where the coefficient of x – quadratic is one ( a = 1)

Factoring with three terms, or trinomials, is the most important type of factoring to be able to master. As factoring is multiplication backwards we will start with a multiplication problem and look at how we can reverse the process....

Factor polynomials with four terms using grouping

The first thing we will always do when factoring is try to factor out a GCF. This GCF is often a monomial like in the problem 5xy + 10xz the GCF is the monomial 5x, so we would have...

Solve value problems by setting up a system of equations

One application of system of equations are known as value problems. Value problems are ones where each variable has a value attached to it. For example, if our variable is the number of nickels in a person’s pocket, those...

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