Factor: 12x2 - 17x 6
Practice factoring a trinomial with a negative middle term: 12x2 - 17x 6.
Subject: product
Transcript: 'LL MULTIPLY THE LEADING COEFFICIENT BY THE LAST TERM. 12 TIMES 6 IS 72. SO WE'LL HAVE TO FIND A PAIR OF NUMBERS WHOSE PRODUCT IS POSITIVE 72 AND WHOSE SUM IS
Square Root of a Product, The
Illustrations of the rule for multiplying radicals: the square root of a times the square root of b equals the square root of the product a times b.
Subject: product
Transcript: THE RULE FOR MULTIPLYING RADICALS IS THE SQUARE ROOT OF A TIMES THE SQUARE ROOT OF B EQUALS THE SQUARE ROOT OF THE PRODUCT A TIMES B. WE'VE BEEN
Review of Multiplication
A review of how to multiply signed numbers.
Subject: product
Transcript: NARRATOR: LET'S SAY WE WANT TO MULTIPLY TWO NUMBERS. THEY'RE CALLED FACTORS. SAY 3 AND NEGATIVE 4. THE ANSWER, OR PRODUCT, WILL HAVE TWO PARTS. AN
Problems Involving the Multiplication of Monomials
Demonstration of how to multiply monomials.
Subject: product
Transcript: GET NEGATIVE 35JM. TRY THIS ONE YOURSELF. 9A TIMES 6B. HERE'S THE METHOD. MULTIPLY THE CONSTANTS AND RECOPY THE VARIABLES. SO THE PRODUCT IS 9 TIMES 6
Multiplying Two Polynomials
Procedure for multiplying two polynomials.
Subject: product
Transcript: , MULTIPLY EACH TERM IN THE FIRST EXPRESSION BY EVERY TERM IN THE SECOND EXPRESSION. THEN, COMBINE THE PARTIAL PRODUCTS. START WITH THE 4. ONE BY ONE, WE
Squaring Binomials
MM_ALG_04K_011
Subject: partial product
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
Factor 14n 35p
Demonstration of factoring a polynomial with no like terms: 14n 35p,
Subject: product
Transcript: TIMES 2N IS 14N. 7 TIMES 5P IS POSITIVE 35P. THE PRODUCT IS THE SAME AS THE BINOMIAL WE FACTORED, SO OUR FACTORS MUST BE CORRECT. NOTICE THAT WHEN WE
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 utilizes the zero factor property.
Subject: product
Transcript: NUMBERS MUST HAVE A SUM THAT IS THE SAME AS THE COEFFICIENT OF THE MIDDLE TERM. THEY MUST ALSO HAVE A PRODUCT THAT IS THE SAME AS THE LAST TERM. SO WE NEED
Solving Equations Not Written in Standard Form
Before solving a quadratic equation, it must be written in standard form. The procedure is demonstrated.
Subject: product
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
Simplifying the Square Root of Larger Numbers
Simplifying the square root of a larger number.
Subject: product
Transcript: 3. 80 CAN BE FACTORED INTO THE PRODUCT OF 4, A PERFECT SQUARE, AND 20. THE SQUARE ROOT OF 4 IS 2. SO NOW WE HAVE 3 TIMES 2 TIMES THE SQUARE ROOT OF 20