Polynomials, Monomials, Binomials, Trinomials
Three types of polynomials are defined: monomials, binomials, and trinomials.
Subject: constant
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
Problems Involving the Multiplication of Monomials
Demonstration of how to multiply monomials.
Subject: constant
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
Solving an Equation by Subtracting
An explanation of how to solve an algebraic equation by dividing.
Subject: constant
Transcript: CONSTANT IT EQUALS ON THE OTHER. THIS EQUATION SAYS THAT 3X EQUALS 15. BUT WE DON'T CARE WHAT 3X EQUALS, WE WANT TO KNOW WHAT X EQUALS. SO HOW DO WE GET RID
Solving an Equation by Adding
An explanation of how to solve an algebraic equation by subtracting.
Subject: constant
Transcript: NARRATOR: HERE'S ANOTHER KIND OF EQUATION. X PLUS 2 EQUALS 6. WE KNOW THE VALUE OF X PLUS 2, BUT WE WANT THE VALUE OF X ALL BY ITSELF. THE CONSTANT
Solving an Equation by Multiplying
An explanation of how to solve an algebraic equation by adding.
Subject: constant
Transcript: VARIABLE PLUS A CONSTANT IN AN EQUATION, WE CAN GET RID OF THE CONSTANT BY SUBTRACTING IT FROM BOTH SIDES OF THE EQUATION. BUT IF WE'RE GIVEN A VARIABLE
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: constant
Rewriting Equations for Slope-intercept Form
Rewriting an equation in slope-intercept form.
Subject: constant
Transcript: . ON THE LINE FOR THIS EQUATION, THE Y-INTERCEPT IS THE CONSTANT 3. THE SLOPE IS NEGATIVE 2. THE NEGATIVE SIGN IS PART OF THE SLOPE. THAT'S BECAUSE
Rewriting Equations in Order to Use the Elimination Method
Using the elimination method to solve a system of equations will sometimes require rewriting one of the equations.
Subject: constant
Quadratic Equations in Standard Form
The standard form for a quadratic equation is ax2 bx = 0. It is not always clear whether an equation is a quadratic equation until it is simplified. Any equation that can be written in stand form is a quadratic equation.
Subject: constant
Transcript: . THE SAME VARIABLE APPEARS IN THE SECOND TERM, BUT IT IS RAISED TO THE FIRST POWER. THE THIRD TERM IS A CONSTANT. THESE THREE TERMS MAKE UP A QUADRATIC
Solving a Quadratic Equation Using the Quadratic Formula
Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...
Subject: constant
Transcript: FORM. A IS THE COEFFICIENT OF THE SQUARED TERM AND CAN NEVER BE 0, B IS THE COEFFICIENT OF THE MIDDLE TERM, AND C IS THE CONSTANT. THE FORMULA GIVES US A