Factor: 12x2 - 17x 6
Practice factoring a trinomial with a negative middle term: 12x2 - 17x 6.
Subject: term
Transcript: NOW LET'S FACTOR A TRINOMIAL THAT INCLUDES A NEGATIVE TERM. WE'LL USE THE SAME METHOD, BUT WE'LL HAVE TO BE CAREFUL ABOUT THE SIGNS OF THE TERMS. WE
Solving Systems of Equations Using the Elimination Method by Subtraction
Another way to eliminate terms that are additive inverses is by subtraction.
Subject: term
Transcript: NARRATOR: WE'VE USED ADDITION TO ELIMINATE VARIABLE TERMS THAT ARE ADDITIVE INVERSES. BUT WE CAN ALSO USE SUBTRACTION. SUBTRACTION ALLOWS US TO
Practical Problem: Boat Speed and River Currents
A word problem involving rate, time, and distance is solved step-by-step using the elimination method.
Subject: term
Transcript: . UPSTREAM THE BOAT TRAVELED 18 MILES. THE TABLE SHOWS DISTANCE IN TERMS OF B AND C. 2B MINUS 2C IS EQUAL TO THE DISTANCE TRAVELED UPSTREAM, 18 MILES. THAT
Factor: 5c2 3c - 20cd - 12d
Practice factoring: 5c2 3c - 20cd - 12d.
Subject: term
Transcript: TRY TO FACTOR THIS POLYNOMIAL YOURSELF. INSPECT THE TERMS FIRST AND WORK CAREFULLY WITH THE NEGATIVE SIGNS WHEN YOU GROUP TERMS. WE CAN GROUP THE
Factor: ax - x - 5a 5
Practice with factoring involving minus signs: ax - x - 5a 5.
Subject: term
Transcript: HERE'S ANOTHER POLYNOMIAL THAT WILL GIVE US A GROUP WITH A MINUS SIGN IN FRONT OF TERMS IN PARENTHESES. WE CAN GROUP THE FIRST TWO TERMS AND THE
Practical Problem: Subtracting Boxes in a Warehouse
A practical problem solved using subtraction in an algebraic expression.
Subject: term
Transcript: SIGNS, AND COMBINE LIKE TERMS. 6M MINUS M IS 5M. 12S PLUS 2S IS 14S. WE SIMPLY COPY THE 8L. THINK ABOUT IT. THE ALGEBRA TELLS US THAT WE ARE LEFT WITH 8
Polynomials, Monomials, Binomials, Trinomials
Three types of polynomials are defined: monomials, binomials, and trinomials.
Subject: term
Transcript: NUMBERS, OR CONSTANTS. YOU'VE KNOWN ABOUT THEM FOR YEARS, ALTHOUGH YOU MAY NOT HAVE USED THAT NAME. NEXT COME POLYNOMIALS CONSISTING OF ONLY ONE TERM. THEY
Subtracting Like Terms
Subtracting like terms demonstrated and applied to a practical problem.
Subject: term
Transcript: FRONT OF EVERY TERM IN THE EXPRESSION BEING SUBTRACTED. THAT IS, THE SUBTRAHEND. THERE'S NO SIGN IN FRONT OF 4L, SO IT'S UNDERSTOOD TO BE PLUS. WE CHANGE
Squaring Binomials
MM_ALG_04K_011
Subject: term
Transcript: NARRATOR: TO SQUARE ANY BINOMIAL, FIGURE OUT THREE PARTIAL PRODUCTS. THE SQUARE OF THE FIRST TERM, TWICE THE PRODUCT OF THE FIRST AND LAST TERMS
Explanation of Like Terms
The definition of like terms in an algebraic expression. Identifying terms that are and are not like terms.
Subject: term
Transcript: NARRATOR: NOW THAT WE KNOW WHAT TERMS ARE, WE ARE READY TO THINK ABOUT A SPECIAL KIND. THEY'RE CALLED LIKE TERMS. OR SOMETIMES, SIMILAR TERMS. THE