Factor: a2 12a 27
Demonstration of a shortcut that can be used to factor a quadratic trinomial with a leading coefficient of 1.
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.
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...
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: x2 5x - 24
A quadratic trinomial in which the last term is negative is factored.