Series: Pre Calculus

Factoring Polynomials 170

10/11/2010

~ Marsha3

This instructor is phenomenal! I have listened to many of the sample lessons and in my opinion, her teaching skills are superior to any others. I am currently fulfilling a math requirement after a hiatus of 50 years and find her instructional method clear, concise, and extremely easy to understand. She is the epitome of what a teacher should be.

Good lesson

09/28/2009

~ jfilip

This lesson was easy to follow. With my continuing troubles with the instructors voice aside, there were tons of examples that were easy to follow along with. After the first few I was pausing the video, working the problem, then checking as she explained it which was a good way to catch a few of the mistakes I was doing.

Below are the descriptions for each of the lessons included in the series:

• Algebra: Operations With Radicals 160

  This 75 minute basic algebra lesson deals with radicals (roots). You will learn how to simplify by adding, subtraction, multiplying and dividing radicals without the use of a calculator. You will learn:
  - definitions, perfect squares and cubes, radical, radicand, index, square and other roots, mixed radical, entire radical, like radicals
  - to simplify radicals
  - to change mixed radicals to entire radicals
  - to multiply & divide radicals
  - add & subtract radicals
  - to work with radicals and special products: difference of squares & perfect squares
  - identities
  - word problems involving rectangles and squares

  This lesson contains explanations of the concepts and 44 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson:
  - 100 All About Numbers (http://www.mindbites.com/lesson/5072)
  - 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
  - 125 Multiplication of Polynomials (http://www.mindbites.com/lesson/5063)

• Basic Algebra: 0, Negative, Rational Exponents 165

  This 69 minute basic algebra lesson applies The 5 Basic Exponent Laws covered in Lesson 115 to the zero exponent, negative exponents and rational (fractional) exponents. This lesson covers:
  - simplifying with a zero exponent
  - simplifying with negative exponents
  - how to change from negative to positive exponents
  - simplifying fractional exponents
  - changing from exponential form to radical form and radical form to exponential form
  - simplify and express with positive exponents
  - simplify a question like this: 81^1/2 + 9^0 – 32^3/5 + 16 ^-1/4

  This lesson contains explanations of the concepts and 28 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson:
  - 100 All About Numbers (http://www.mindbites.com/lesson/5072)
  - 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
  - 115 The 5 Basic Exponent Laws (http://www.mindbites.com/lesson/5061)
  - 160 Operations With Radicals (http://www.mindbites.com/lesson/5065)

• Basic Algebra: Factoring Polynomials 170

  This 82 minute basic algebra lesson explains what factoring is and teaches how to factor different types of polynomials using the three most common types of factoring:
  - common factoring (find the greatest common factor (GCF)
  - factoring trinomials in the form ax^2 + bx + c
  - factoring as a difference of squares, questions like 81x^2 – (y + w)^2

  A factoring strategy is also outlined to help you with factoring.
  This lesson contains explanations of the concepts and 37 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson:
  - 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
  - 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060)
  - 120 Basic Algebra Part II (http://www.mindbites.com/lesson/5066)
  - 125 Multiplication of Polynomials (http://www.mindbites.com/lesson/5063)

• Coordinate Geom: Graphing Linear Relations 195

  This 79 minute coordinate geometry lesson covers graphing linear relations (straight lines), x & y intercepts and lines perpendicular to a graph of an equation. After this lesson you will be able to:
  - find the slope and y intercept from an equation
  - write equations of lines given one point and the slope or given two points
  - understand relations (sets of ordered pairs)
  - graph linear relations using:
  a calculator, table of values, x and y intercepts, slope of a line and a point on the line
  - understand a missing variable
  - work with positive, negative, zero and undefined slope
  - understand slope intercept form y = mx + b and understand point slope form
  - recognize the standard form of a linear equation

  Sample question: Find the equation in standard form of the line passing through (4, -2) and perpendicular to the graph of 5x – y – 1 = 0

  This lesson contains explanations of the concepts and 23 example questions with step by step solutions plus 7 interactive review questions with solutions.

  Lesson that will help you with the fundamentals of this lesson:
  - 190 Coordinate Plane, Distance and Midpoint Formulas (http://www.mindbites.com/lesson/5075)

• Algebra: Solving Systems of Linear Equations 205

  This 86 minute intermediate algebra lesson focuses on solving linear (first degree) equations. The equations in a system of two linear equations are studied together with both graphic and algebraic methods used for solution. This lesson will help you understand how to solve:
  - using the graphing method
  - algebraically using the substitution method, the the comparison method, and the addition or subtraction (elimination) method (e.g. solve for x and y in using 5x + 3y = -14 and 3x – 6y = -11)
  - a consistent and dependent system of two linear equations algebraically
  - a consistent and independent system of two linear equations
  - an inconsistent system of two linear equations
  - a system of linear equations in three variables

  This lesson contains explanations of the concepts and 19 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lesson that will help you with the fundamentals of this lesson:
  - 190 Coordinate Plane, Distance & Midpoint Formulas, Slope (http://www.mindbites.com/lesson/5075)

• Algebra: The Quadratic Function 220

  This 84 minute intermediate algebra lesson focuses on the quadratic function y= ax^2 + bx + c, a ≠ 0. This lesson will help you understand and learn to:
  - work with the quadratic function of the form y= ax^2 + bx + c, a ≠ 0 to draw parabolas
  - graph y = ax^2 with different values for a
  - graph y = ax^2 + c with different values for c
  - complete the square on the form y = ax^2 + bx + c to change to the form y = a(x-p)^2 +q in order to find the vertex, the equation of the axis of symmetry, the minimum or maximum value, the range of the function, and what happens when (p is positive? negative?) (q is positive? negative?)
  - solve minimum and maximum word problems
  - work with parabolas to determine if they are functions or not, if they are expanded vertically (stretch in the y direction), if they are compressed vertically (shrink in the y direction), and if they open upward or downward

  This lesson contains explanations of the concepts and 16 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson:
  - 170 Factoring Polynomials (http://www.mindbites.com/lesson/5071)
  - 210 Relations & Functions (Domain, Range, Functional Notation, & Inverses of Functions) (http://www.mindbites.com/lesson/5086)

• Algebra: Factoring Quadratic Equations 230

  This 75 minute intermediate algebra lesson focuses on solving quadratic (2nd degree) equations. This lesson will help you understand and learn how to solve quadratic equations using different types of factoring:
  - common factor
  - factoring a difference of squares
  - factoring simple and complex trinomials and perfect square trinomials

  Also covered in this lesson are:
  - parabolas
  - x intercepts
  - roots (distinct, equal and non-real)
  - standard form and the zero product property
  - how to find a quadratic equation given its roots.

  This lesson contains explanations of the concepts and 41 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 125 Multiplication of Polynomials (http://www.mindbites.com/lesson/5063)
  - 170 Factoring Polynomials (http://www.mindbites.com/lesson/5071)

• Algebra: Using the Quadratic Formula 235

  This 71minute intermediate algebra lesson focuses on the solution of quadratic (2nd degree) equations by using the qudratic formula: x = [-b +/- (b^2+4ac)^1/2)]/2a

  This lesson will help you understand how to find the values of a, b & c and solve equations using the quadratic formula when::
  - answers are in the simplest form
  - answers must be simplified
  - there are no real roots
  - the quadratic equation can be factored
  - you use your calculator to express answers as decimals

  Sample question: Solve 2x^2 + x = -5

  This lesson contains explanations of the concepts and 25 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 160 Operations with Radicals (http://www.mindbites.com/lesson/5065)
  - 230 Solving Quadratic Equations by Factoring (http://www.mindbites.com/lesson/5087)

• Algebra: Polynomial Functions Synth Div 260

  This 81 minute advanced algebra lesson studies 3rd & 4th degree polynomial functions. The lesson begins with a review of long division of a polynomial by a binomial and then introduces synthetic division. You will learn how to:
  - define a polynomial function
  - find the remainder using the remainder theorem
  - evaluate polynomials
  - find a zero of a polynomial function using the factor theorem for example and factor completely and find the zeros of f(x) = x^3 + 4x^2 + x - 6
  - factor 3rd & 4th degree polynomial functions
  - classify zeros as integral or rational and determine their multiplicities

  This lesson contains explanations of the concepts and 18 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 130 Long Division of a Polynomial by a Binomial (http://www.mindbites.com/lesson/5064)
  - 170 Factoring Polynomials (http://www.mindbites.com/lesson/5071)
  - 205 Solving Systems of Linear Equations (http://www.mindbites.com/lesson/5083)

• Exponents & Logs: Graphing Functions 405

  This 64 minute exponents & logarithms lesson studies the graphs of the exponential function and the inverse of the exponential function, which is the logarithm:

  This lesson will show you how to:
  - graph exponential functions and summarize the characteristics of the graphs
  - find the inverse of the exponential function
  - graph logarithmic functions and summarize the characteristics of the graphs
  - understand the x and y intercepts, an asymptote, domain & range, growth and decay functions, and the reflection property

  Sample question: Given the exponential function y = 2^x, write its inverse in exponential form On the same grid, draw the graphs of y = 2^x and its inverse x = 2^y. Show the line of reflection y = x

  This lesson contains explanations of the concepts and 13 example questions with step by step solutions plus 3 interactive review questions with solutions.

  Lesson that will help you with the fundamentals of this lesson:
  - 400 Solving Exponential Equations (http://www.mindbites.com/lesson/5082)

Supplementary Files:

• Once you purchase this series you will have access to these files: