Think of a polynomial graph of higher degrees degree at least 3 as quadratic graphs, but with more twists and turns. The same is true with higher order polynomials. If we can factor polynomials, we want to set each factor with a variable in it to 0, and solve for the variable to get the roots.
Equation of a Line Given Two Points on the Line Slopes of Parallel and Perpendicular Lines How to determine if two lines are parallel or perpendicular when given their slopes, how to find the equation of a line given a point on the line and a line that is parallel or perpendicular to it, how to find parallel or perpendicular lines using Standard Form.
Midpoint Formula Midpoint formula, how to find the midpoint given two endpoints, how to find one endpoint given the midpoint and another endpoint, how to proof the midpoint formula. Distance Formula How to derive the distance formula from the Pythagorean Theorem, how to use the distance formula.
Graphing Linear Inequalities Graph of linear inequalities, how to graph linear inequalities, how to graph systems of linear inequalities. Graphing Inequalities Linear Programming Linear programming, how to use linear programming to solve word problems. Quadratic Functions Different forms of quadratic functions, general form, factored form, vertex form, convert from general form to factored form, convert from the general form to the vertex form using the vertex formula, convert from the general form to the vertex form using completing the square.
Graphical Solutions of Quadratic Equations How the solutions of a quadratic equation is related to the graph of the quadratic function, how to use the graphical method to solve quadratic equations. Graphing Exponential Functions How to graph exponential functions by plotting points, the characteristics of exponential functions, how to use transformations to graph an exponential function.
Graphing Reciprocal Functions How to graph reciprocal functions by plotting points, the characteristics of graphs of reciprocal functions, how to use transformations to graph a reciprocal function, how to get the equation of a reciprocal function when given its graph.
A series of Mathematics Lessons given in videos by Portland Community College - Algebra Review The geometry of algebraic expressions, Combining like terms Simplifying Algebraic Expressions using the distributive property An introduction to equations Why do we write equations?
What is an equation? What is a solution to an equation? Different types of equations Introduction to linear equations Solving Linear Equations: Properties of equality Equations that involve simplification, Equations containing fractions.
A general strategy for solving linear equations Solution Sets: Solutions vs solution sets? Perpendicular lines, Vertical lines, Horizontal lines Summary of slopes Graphing Linear Equations With Two Variables using intercepts Three forms of the equation for a line Intercepts Standard Form, Slope-intercept form Finding equations of lines Given slope and vertical intercept Given both intercepts, Applications Find the equation of a line given the slope and a point on the line Applications of linear equations Point-slope form of a linear equation: Point-slope form, Finding a linear equation given two points on a line Finding a linear equation given a graph of a line Applications of Linear Equations Linear Inequalities in two variables Applications of Linear Inequalities in two variables Course Review and Summary: Special Cases, Three Common Solution Methods Linear Systems based in Geometry Using Substitution to find new formulas from old Exponents Three important rules of exponents Two important definitions of exponents An alternate definition of a polynomial Examples, Find a strategy that will work for you One last exponent rule Polynomials What is a polynomial?
Definitions Evaluating polynomials Multiplying monomials, The distributive property, Multiplying binomials Multivariable Product: Multiplying polynomials by monomials, FOIL Special products, Products involving polynomials with more than two terms The geometry of polynomial multiplication:Heroes and Villains - A little light reading.
Here you will find a brief history of technology. Initially inspired by the development of batteries, it covers technology in general and includes some interesting little known, or long forgotten, facts as well as a few myths about the development of technology, the science behind it, the context in which it occurred and the deeds of the many.
The polynomial generator generates a polynomial from the roots introduced in the Roots field.
Input the roots here, separated by comma Roots difference. Polynomial calculator - Division and multiplication. Polynomial calculator - Integration and differentiation.
Polynomial calculator - Parity Evaluator (odd, even or none) Polynomial.
Mathematics constitute an activity of the mind which takes the dimensions of a big human adventure. It is a fertile field for the development of critical thinking, for the formation of the habit of scientific honesty, for objectivity, for rigor and for precision.
The minor downside in the last choice is that the real and imaginary parts of the expression A+i*B aren't necessarily A and B, respectively. Algebra Help - Lessons, examples, practice questions and other resources in algebra for learning and teaching algebra, How to solve equations and inequalities, How to solve different types of algebra word problems, Rational expressions, examples with step by step solutions.
A Time-line for the History of Mathematics (Many of the early dates are approximates) This work is under constant revision, so come back later.
Please report any errors to me at [email protected]