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
Series: Factoring, Part Two
Subject: factor
Transcript: AB MINUS 2A PLUS 3B MINUS 6. LOOK AT THE TERMS. THERE IS NO GREATEST COMMON FACTOR OF ALL THE TERMS, SO WE'LL SEE IF WE CAN FACTOR BY GROUPING. THE
Factor: x2 5xy 4y2
Factoring a trinomial with two different variables: x2 5xy 4y2.
Series: Factoring, Part Three
Subject: factor
Transcript: THE KEY TO FACTORING QUADRATIC TRINOMIALS IS FINDING A PAIR OF NUMBERS THAT HAS A CERTAIN PRODUCT AND A CERTAIN SUM. THAT'S ALSO THE KEY TO
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
Series: Factoring, Part Three
Subject: factor
Transcript: LET'S LOOK AT SOME OTHER TRINOMIALS WITH A LEADING COEFFICIENT GREATER THAN 1. IN THIS EXAMPLE, THE TERMS HAVE NO GREATEST COMMON FACTOR. THAT'S OK
On the Dotted Line
We discuss "closing the sale" as an outcome of a well-planned presentation while providing a number of guidelines for closing.
Subject: factor
Solve: m2 7m 12 = 0
Practice solving a quadratic equation: m2 7m 12 = 0.
Subject: factor
Transcript: START BY FACTORING THE QUADRATIC TRINOMIAL ON THE LEFT SIDE OF THE EQUATION. WE KNOW EACH FACTOR WILL HAVE THE VARIABLE M. TO FIND THE OTHER TERMS OF THE
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.
Subject: factor
Transcript: TRINOMIAL IS A CONSTANT. IN AN EARLIER LESSON, WE LEARNED HOW TO FACTOR QUADRATIC TRINOMIALS. IN THIS LESSON, WE'LL USE FACTORING TO SOLVE QUADRATIC EQUATIONS
Practical Problem: Pricing a Product and Maximizing Profit
Using a quadratic equation with two variables to solve a practical problem involving product pricing.
Subject: factor
Transcript: STANDARD FORM. IT DOESN'T MATTER THAT THE 0 IS ON THE LEFT SIDE OF THE EQUATION, WE CAN SOLVE IT BY FACTORING THE TRINOMIAL ON THE RIGHT. BUT BEFORE WE START
Adding Rational Expressions with Complicated Denominators
An example of adding rational expressions that have binomials and trinomials in the denominator is illustrated.
Subject: factor
Transcript: EXPRESSIONS, WE'LL HAVE TO FIND THE LEAST COMMON DENOMINATOR. BOTH DENOMINATORS HAVE THE FACTORS X MINUS 4. THE DENOMINATOR OF THE FIRST EXPRESSION ALSO HAS THE
Adding Rational Expressions with Different Denominators
Rational expressions with different denominators are added and the procedure explained.
Subject: factor
Transcript: DENOMINATORS ARE X AND X SQUARED. SINCE X IS ALREADY A FACTOR OF X SQUARED, THE LEAST COMMON DENOMINATOR IS X SQUARED. NOW WE CAN THINK ABOUT ADDING THE
Additional Problem That Requires Factoring, An
A shortcut for working with rational expressions with a denominator that need to be factored is presented.
Subject: factor
Transcript: HERE'S ANOTHER PROBLEM IN WHICH THERE'S A DENOMINATOR THAT NEEDS FACTORING. 4 MINUS X SQUARED IS THE DIFFERENCE OF TWO SQUARES. THE FACTORS ARE 2