Factor: 9y2 - 15y 4
Practice factoring a trinomial with a negative middle term: 9y2 - 15x 4.
Subject: term
Transcript: HERE'S ANOTHER TRINOMIAL WITH A NEGATIVE MIDDLE TERM. WE'LL BE CAREFUL WITH SIGNS AS WE FACTOR BY GROUPING. WE WANT TWO NUMBERS WHOSE PRODUCT EQUALS
Factor: 8a2 10a 3
Practice factoring: 8a2 10a 3.
Subject: term
Transcript: LET'S FACTOR THIS TRINOMIAL. WE'LL START BY LOOKING FOR TWO NUMBERS WHOSE SUM IS THE COEFFICIENT OF THE MIDDLE TERM, THAT'S 10. THE TWO NUMBERS MUST
Solving a Word Problem Using One Variable
Writing and solving a word problem using a one-variable approach.
Subject: term
Transcript: SEATS. WHEN X IS THE NUMBER OF BALCONY SEATS, THE NUMBER OF FLOOR SEATS IS X PLUS 70. WE'VE DEFINED THE NUMBER OF FLOOR SEATS IN TERMS OF THE NUMBER OF
Factor: xy 7x 7y x2
Practice factoring: xy 7x 7y x2. Two different factorable groups are demonstrated.
Subject: term
Transcript: SOMETIMES WE'LL HAVE TO REARRANGE TERMS IN ORDER TO FACTOR BY GROUPING. FOR EXAMPLE, IN THIS POLYNOMIAL WE CAN'T GROUP THE FIRST TWO TERMS AND THE
Review of Solving Systems of Equations by Substitution
Using the substitution method to solve a system of equation.
Subject: term
Transcript: ONE VARIABLE. WE CAN SOLVE FOR X. BE CAREFUL OF THE NEGATIVE SIGN IN FRONT OF THE PARENTHESES, IT CHANGES THE SIGNS OF BOTH TERMS IN THE PARENTHESES
Examples of Solving Systems of Equations Using the Elimination Method
The elimination method of solving a system of equations is demonstrated.
Subject: term
Transcript: NARRATOR: LET'S SOLVE ANOTHER SYSTEM. BOTH EQUATIONS ARE IN THE SAME FORM, AND THE Y-TERMS IN THIS SYSTEM ARE ADDITIVE INVERSES, NEGATIVE 1Y AND
Rules for Subtracting Algebraic Expressions
Rules for subtracting one algebraic expression from another and a step-by-step demonstration.
Subject: term
Transcript: NARRATOR: TO SUBTRACT ONE ALGEBRAIC EXPRESSION FROM ANOTHER, FIRST, CHANGE SUBTRACTION TO ADDITION. NEXT, CHANGE THE SIGN OF EVERY TERM IN THE
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
Subject: term
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
Solving Systems of Equations Using the Elimination Method by Adding
Explanation of the elimination method of solving a system of equations. Adding the equations to eliminate a variable is quicker than using the substitution method, but requires that both equations be in the same form and that the system contain an a...
Subject: like terms
Transcript: THIS CASE, Y. BEFORE WE CAN USE ELIMINATION, BOTH EQUATIONS IN THE SYSTEM SHOULD BE WRITTEN IN THE SAME FORM. THAT WAY WE CAN ADD LIKE TERMS IN COLUMNS
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 factor and can be used, as demonstrated in the example c2 - cd c - d.
Subject: term
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