Factor: ax 3x 3b 3y
A polynomial with four terms can be factored by grouping when there is no factor common to all four terms. The procedure is demonstrated and the process checked using the FOIL method and applying the commutative law.
Factor: ab – 2a 3b - 6
The polynomial expression ab — 2a 3b - 6 is factored by grouping and the solution checked. The factors check when the terms and their signs are the same as those in the original polynomial.
Factor: x2 5xy 4y2
Factoring a trinomial with two different variables: x2 5xy 4y2.
Multiplying a Monomial by a Trinomial
Solving a practical problem algebraically using multiplication of a monomial by a trinomial.
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...
NOTE TITLE CHANGE: Multiplying Three Rational Expressions
A multiplication problem involving three rational expressions is demonstrated.
Dividing a Polynomial by a Monomial
Using the rules for exponents to divide a polynomial by a monomial.
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...