Factoring with (-1) to Rewrite a Polynomial
Factoring with negative numbers. Using negative one to change the signs of each term in an expression.
Series: Factoring, Part One
Subject: factor
Transcript: WE CAN FACTOR WITH NEGATIVE NUMBERS. FOR EXAMPLE, WE MAY WANT TO FACTOR WITH NEGATIVE 1 TO CHANGE THE SIGNS OF EACH TERM IN AN EXPRESSION. SUPPOSE
Factoring Quadratic Equations Review
Two methods of solving quadratic equations are factoring and finding the square root on each side; reviewed here.
Subject: factor
Transcript: THEN WE LEARNED TO IDENTIFY QUADRATIC EQUATIONS AND TO SOLVE THEM BY FACTORING. HERE'S WHAT WE DID. FIRST, WE MADE SURE THE EQUATION IS IN STANDARD
Factoring Review
A review of factoring of numbers and polynomials.
Series: Factoring, Part One
Subject: factor
Transcript: WHEN WE FACTORED NUMBERS, WE STARTED WITH A NUMBER CALLED A PRODUCT. THEN WE FOUND ITS FACTORS, THE NUMBERS WE COULD MULTIPLY TO FIND THE PRODUCT
Practical Problem: Expanding a Parking Lot
Using a quadratic equation to solve a practical problem involving enlarging a parking lot. Checking the solution to be sure it makes sense in the context of the problem.
Subject: factor
Transcript: . SUBTRACT 10,800 FROM BOTH SIDES. THEN REARRANGE THE TERMS. NOW WE CAN FACTOR THE TRINOMIAL ON THE LEFT SIDE OF THE EQUATION. WE NEED TWO NUMBERS WHOSE
Practical Problem: The Path of a Golf Ball
Using a quadratic equation to describe the relationship between variables in a practical problem involving the flight time of a golf ball.
Subject: factor
Transcript: EQUATION WE CAN SOLVE. THE LEFT SIDE OF THE EQUATION IS NOT A TRINOMIAL, BUT WE CAN SOLVE THE EQUATION BY FACTORING OUT THE GREATEST COMMON FACTOR. NEGATIVE
Factor: b2 9b 20
A quadratic trinomial with a leading coefficient of 1 is factored, producing a four-term polynomial. The factor is then checked by multiplying using
Series: Factoring, Part Three
Subject: factor
Transcript: LET'S FACTOR ANOTHER QUADRATIC TRINOMIAL THAT HAS A LEADING COEFFICIENT OF 1. AGAIN, WE'LL BEGIN BY LOOKING FOR TWO NUMBERS. WE'LL THINK ABOUT THE
Introduction to Factoring Quadratic Trinomials
other with an exponent of one. The third term in a quadratic trinomial is a constant. To factor a quadratic trinomial, the middle term is rewritten as two
Series: Factoring, Part Three
Subject: factor
Transcript: WE'LL CONTINUE TO USE THE GROUPING METHOD IN THIS LESSON. BUT WE'LL USE IT TO FACTOR A POLYNOMIAL LIKE THIS. IT'S CALLED A QUADRATIC TRINOMIAL
Guidelines for Simplifying Radicals
The guidelines for simplifying radicals include simplifying any perfect square in the radicand and assuring that each term in a radical expression has no more than one radical.
Subject: factor
Transcript: WE'VE ALREADY LEARNED ONE OF THE GUIDELINES FOR SIMPLIFYING RADICALS. WE CHECK TO MAKE SURE THE RADICAL HAD NO PERFECT SQUARE FACTORS IN THE
Factor: 2k2 - 18k - 72
Factoring a quadratic trinomial with a leading coefficient greater than one.
Series: Factoring, Part Three
Subject: factor
Transcript: LET'S FACTOR A QUADRATIC TRINOMIAL WITH A LEADING COEFFICIENT GREATER THAN 1. IN THIS CASE, A QUICK INSPECTION SHOWS THAT THIS TRINOMIAL HAS A
Not All Quadratic Trinomials Can Be Factored
A quadratic trinomial that cannot be factored is presented and explained.
Series: Factoring, Part Three
Subject: factor
Transcript: NOT ALL QUADRATIC TRINOMIALS CAN BE FACTORED. LOOK AT THIS ONE. IN ORDER TO FACTOR IT, WE NEED TO FIND TWO NUMBERS WHOSE PRODUCT IS 12 AND WHOSE SUM