Practical Problem: Pricing a Product and Maximizing Profit
Using a quadratic equation with two variables to solve a practical problem involving product pricing.
Solve: 2x2 - 15x 18 = 0
Practice solving a quadratic equation: 2x2 - 15x 18 = 0
Factor: xy 18 6y 3x
Practice factoring: xy 18 6y 3x
Factoring Perfect Square Trinomials
The perfect square trinomial is a polynomial that can be factored using a special formula. In standard form, the first and last terms of a perfect square trinomial are always perfect squares. The middle term is always the product of the square roots...
Factor: a2 - ac - ab bc
When grouping terms, the goal is to end up with an expression that is equal to the original polynomial. Close attention to the signs is necessary to ensure a correct outcome. Remember that a minus sign in front of parentheses is the same as subtract...
Variables and the Greatest Common Factor
To factor completely, the greatest common factor must include every number and variable that is a factor of each term in the polynomial. A demonstration of how variables can be a part of the greatest common factor.
Solve: 12x2 7x - 10 = 0
Solving a quadratic equation in which the trinomial has a leading coefficient other than one.