Factor: y2 12y 32
Practice factoring: y2 12y 32.
Factor: d2 - 13d 30
The terms in a quadratic trinomial can be positive or negative. A quadratic trinomial in which the middle term is negative is factored.
Factor: x2 5xy 4y2
Factoring a trinomial with two different variables: x2 5xy 4y2.
Factor: 3x2 14x 8
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...
Solve: m2 7m 12 = 0
Practice solving a quadratic equation: m2 7m 12 = 0.
Examples of Quadratic Equations
Quadratic equations can have one or two variables, but in simplest form all quadratic equations have exactly one variable raised to the second power. Examples of quadratic equations are presented.
Factor: 8x2 10x - 25
Practice factoring a trinomial in which the last term is negative: 8x2 10x - 25.
Solve: 2x2 - 15x 18 = 0
Practice solving a quadratic equation: 2x2 - 15x 18 = 0
Factor: x2 5x - 24
A quadratic trinomial in which the last term is negative is factored.
Solve: x2 - 8x 16 = 0
Practice solving a quadratic equation: x2 8x 16 = 0. Because this equation has two identical binomial factors, it has a single solution called a double root.