Practical Problem: Finding the Amount of Electrical Current
Evaluating a rational expression to find out why a fuse keeps blowing out. Using the formula to find the total resistance of a parallel circuit.
Subject: factor
Transcript: R SUB 1 AND SUBSTITUTE 2,200 FOR R SUB 2. MULTIPLYING THE FACTORS IN THE NUMERATOR GIVES US 2,200,000. ADDING THE TERMS IN THE DENOMINATOR GIVES US 3
Factoring Before Simplifying a Rational Expression
Examples of factoring before simplifying a rational expression are presented.
Subject: factor
Transcript: . THE N SQUARED IN THE NUMERATOR AND THE N SQUARED IN THE DENOMINATOR ARE TERMS, NOT FACTORS. TERMS ARE ADDED, FACTORS ARE MULTIPLIED. WE CAN ONLY CANCEL
Factor: 3xy – 9x 6y - 18
Sometimes a greatest common factor for a polynomial expression can be found before any terms are grouped. This can lead to parentheses inside of
Series: Factoring, Part Two
Subject: factor
Transcript: WITH SOME POLYNOMIALS, WE CAN FACTOR OUT A COMMON FACTOR BEFORE WE GROUP THE TERMS. LOOK AT THE TERMS IN THIS EXPRESSION. 3 IS A FACTOR OF EACH TERM
Factor: c2 - cd c - d
Although a factor of one is not usually written in an expression, it sometimes helps to write it down in order to remember that it is part of the
Series: Factoring, Part Two
Subject: factor
Transcript: WE CAN USUALLY TELL WHEN A POLYNOMIAL IS FACTORABLE BY QUICKLY INSPECTING THE TERMS. BUT THAT'S NOT ALWAYS THE CASE. LOOK AT THIS EXPRESSION. WE CAN
Simplifying a Radical by Factoring the Radicand
Simplifying a radical by factoring the radicand is demonstrated. The goal of simplifying a radical is to make an expression easier to deal with by
Subject: factor
Transcript: A RADICAL IS FULLY SIMPLIFIED WHEN IT HAS NO PERFECT SQUARE FACTORS OTHER THAN 1 IN THE RADICAND. KEEP THAT IN MIND WHEN WE SIMPLIFY THIS RADICAL
Rationalizing the Denominator with Variables in the Radicand
Rationalizing the denominator with a variable in the radical is demonstrated.
Subject: factor
Factoring Problems
Factoring polynomials using three examples to practice procedures and techniques. Be sure the polynomial has been simplified before factoring
Series: Factoring, Part One
Subject: factor
Transcript: TRY FACTORING THIS POLYNOMIAL. PAY ATTENTION TO THE TERMS AND THE EXPONENTS HERE. REMEMBER, BEFORE WE FACTOR, WE MUST BE SURE THAT THE POLYNOMIAL
Factoring before Multiplying Rational Expressions
If a rational expression is more complicated, factoring before multiplying might be indicated.
Subject: factor
Transcript: CHORE. AFTER THAT, WE'D STILL HAVE TO MULTIPLY THE DENOMINATORS, THEN FACTOR, AND FINALLY REDUCE. SO WE'LL TRY CANCELING FIRST, THEN MULTIPLYING. BUT
Factoring a Denominator to Add Rational Expressions
The process of working with a rational expression that contains a quadratic trinomial in the denominator is illustrated.
Subject: factor
Transcript: THE DENOMINATOR OF THE SECOND EXPRESSION IS A QUADRATIC TRINOMIAL. WE'LL HAVE TO FACTOR IT BEFORE WE CAN DETERMINE WHAT FACTORS THE TWO DENOMINATORS
Factoring by Inspection
Sometimes the greatest common factor is immediately recognizable. Definition and demonstration of factoring by inspection.
Series: Factoring, Part One
Subject: factor
Transcript: THE MORE WE FACTOR, THE BETTER WE'LL GET AT SEEING THE FACTORS OF AN EXPRESSION RIGHT AWAY. TAKE A QUICK LOOK AT THIS POLYNOMIAL. CAN YOU SEE THE