Problems Involving the Multiplication of Monomials
Demonstration of how to multiply monomials.
Subject: factor
Transcript: NARRATOR: NOW WE'RE READY TO MULTIPLY ANY MONOMIALS. LET'S START WITH 7J TIMES 5M. 7J HAS TWO FACTORS, 7 AND J. 5M HAS THE FACTORS 5 AND M. 7 TIMES
Factor 14n 35p
Demonstration of factoring a polynomial with no like terms: 14n 35p,
Series: Factoring, Part One
Subject: factor
Transcript: THIS ONE HAS NO LIKE TERMS, SO WE DON'T HAVE TO SIMPLIFY. LET'S FIND THE GREATEST COMMON FACTOR, AND THEN WE'LL FIND THE OTHER FACTOR. LOOK AT THE
Expressions That Have No Common Radical Factor
Simplifying a radical expression that has no common radical factor using subtraction.
Subject: perfect square factor
Transcript: PERFECT SQUARE FACTORS. WE CAN, HOWEVER, SIMPLIFY THE SQUARE ROOT OF 12. IT EQUALS 2 TIMES THE SQUARE ROOT OF 3. EVEN AFTER SIMPLIFYING, WE CAN'T SUBTRACT
Factor 10b2c4d - 6b3c4d2
Practice factoring: 10b2c4d - 6b3c4d2
Series: Factoring, Part One
Subject: factor
Transcript: LET'S FACTOR THIS NEXT POLYNOMIAL BY INSPECTION. REMEMBER TO CHECK THE SMALLEST EXPONENT OF COMMON VARIABLES. THE GREATEST COMMON FACTOR OF 10 AND 6
Factor 7x2y2 4xy2 - 8x2y
Practice factoring: 7x2y2 4xy2 - 8x2y
Series: Factoring, Part One
Subject: factor
Transcript: WE'LL QUICKLY INSPECT THE TERMS TO FIND A COMMON FACTOR. LET'S TRY 8AB AS THE GREATEST COMMON FACTOR. WE'LL FIND THE OTHER FACTOR BY DIVIDING THE
Factor 18x - 12y
Using the distributive law to factor the polynomial 18x - 12y is demonstrated.
Series: Factoring, Part One
Subject: factor
Transcript: LET'S LOOK AT ANOTHER POLYNOMIAL TO SEE HOW THIS PROCESS WORKS. WE'LL FACTOR 18X MINUS 12Y. WE'LL START BY LOOKING AT THE COEFFICIENT OF EACH TERM
Factor 21a5b7 – 7a4b6c
Practice factoring: 2la5b7 — 7a4b6c
Series: Factoring, Part One
Subject: factor
Transcript: NOW WE'LL FACTOR SOME MORE COMPLICATED POLYNOMIALS. WE'LL WORK WITH EXPRESSIONS LIKE THIS ONE THAT HAVE MORE VARIABLES AND HIGHER EXPONENTS. THE WAY
Factor 72m3n2p5 - 48mn5p3
Practice factoring: 72m3n2p5 - 48mn5p3
Series: Factoring, Part One
Subject: factor
Transcript: HERE'S ANOTHER ONE TO PRACTICE ON. AGAIN, FIRST FIND THE GREATEST COMMON FACTOR OF THE COEFFICIENTS. THEN WORK WITH THE VARIABLES. LET'S SEE, THE
Factor 27x10y3z15 - 9x9y3x9
Practice factoring: 27x10y3z15 - 9x9y3z9
Series: Factoring, Part One
Subject: factor
Transcript: LET'S FACTOR ONE MORE. BE SURE TO FACTOR COMPLETELY. THE GREATEST COMMON FACTOR OF 27 AND 9 IS 9. THE SMALLEST EXPONENT OF THE X-VARIABLE IS 9. THE
Factor by Grouping
Summary of the procedure for factoring by grouping.
Series: Factoring, Part Two
Subject: factor
Transcript: WE OFTEN USE THE GROUPING METHOD TO FACTOR POLYNOMIALS THAT HAVE FOUR TERMS. WHEN THE POLYNOMIAL HAS NO GREATEST COMMON FACTOR, WE USE PARENTHESES