Factor 35x 15y - 20z
Demonstration of factoring a polynomial with three terms that share a common factor: 35x 15y - 20z.
Series: Factoring, Part One
Subject: factor
Transcript: FACTOR THIS POLYNOMIAL. IT HAS THREE TERMS, AND EACH TERM SHARES A COMMON FACTOR. LOOK AT THE COEFFICIENTS. 5 IS A FACTOR OF EACH TERM. NOW LOOK AT
Subtraction Problem That Requires Factoring, A
Solving a problem in which both denominators are quadratic trinomials is demonstrated.
Subject: factor
Transcript: HERE'S A PROBLEM WHERE BOTH DENOMINATORS ARE QUADRATIC TRINOMIALS. WE'LL HAVE TO FACTOR THEM BEFORE WE CAN FIND THE LEAST COMMON DENOMINATOR. IN THE
Solving an Equation with the Least Common Denominator: Another Practice Problem
A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.
Subject: factor
Transcript: THE LEAST COMMON DENOMINATOR OF THE FRACTIONS IN THE EQUATION IS 5X TIMES X PLUS 2. SO WE'LL MULTIPLY BOTH SIDES OF THE EQUATION BY THESE FACTORS
Thoroughly Check for Common Factors
Be thorough when checking for common factors, especially when factoring by inspection. You have not factored completely until no common factors
Series: Factoring, Part One
Subject: factor
Transcript: BUT FOR NOW, BE THOROUGH IN CHECKING FOR COMMON FACTORS. THIS IS ESPECIALLY IMPORTANT WHEN YOU'RE FACTORING BY INSPECTION. SOMETIMES THE FIRST
Subtracting Rational Expressions
Rational expressions with the same number in the denominator are subtracted.
Subject: factor
Transcript: NUMERATOR. 5N MINUS 5 CAN BE FACTORED. THE FACTORS OF THE NUMERATOR ARE 5 AND N MINUS 1. THE DENOMINATOR IS STILL N MINUS 1. LOOK AT THAT, WE CAN CANCEL THE N
Two Approaches for Dividing Radicals
Two approaches to simplifying radical expressions using division when the radical in the numerator and the radical in the denominator are perfect squares. Another guideline for simplifying radicals is introduced: all fractions must be reduced to low...
Subject: factor
Factoring Polynomials - The Distributive Law
Factoring is the process of writing a polynomial as a product of its factors. The distributive law is one of a number of ways to factor polynomials.
Series: Factoring, Part One
Subject: factor
Transcript: DIVISION. THE VARIABLES IN A POLYNOMIAL CAN BE RAISED TO ANY POSITIVE INTEGER POWER. FACTORING IS THE PROCESS OF WRITING A POLYNOMIAL AS A PRODUCT OF ITS
Solving Quadratic Equations by Factoring
A quadratic equation in which the quadratic trinomial has a leading coefficient of one can be solved by factoring. An example is given that also
Subject: factor
Transcript: IS A QUADRATIC TRINOMIAL WITH A LEADING COEFFICIENT OF 1. IF WE FACTOR THIS TRINOMIAL, WE'LL BE ABLE TO SOLVE THE EQUATION. THE FACTORS OF A QUADRATIC
Solve: 3x(x - 2) = 14
The equation 3x(x - 2) = 14 is solved using the quadratic formula.
Subject: factor
Transcript: TWO TERMS. 36 MINUS NEGATIVE 168 IS THE SAME AS 36 PLUS 168. THAT'S 204. NOW SIMPLIFY THE RADICAL. 204 HAS A PERFECT SQUARE FACTOR, IT'S 4. THE OTHER
Solving Equations Not Written in Standard Form
Before solving a quadratic equation, it must be written in standard form. The procedure is demonstrated.
Subject: factor
Transcript: FACTOR PROPERTY. THE PROPERTY ONLY WORKS WHEN THE PRODUCT IN THE EQUATION IS EQUAL TO 0. SO WE'LL WRITE THIS EQUATION IN STANDARD FORM BEFORE WE DO