Why U
Algebra 90 - Dividing Polynomials
This lecture explains a procedure used to divide polynomials that is analogous to the procedure used to divide integers called "long division". Dividing one polynomial (the dividend) by another (the divisor) produces a quotient that may...
Why U
Algebra 84 - Monomial Building Blocks of Polynomial Functions
A polynomial is a sum of one or more terms called monomials. If we think of each monomial as a separate function, then a polynomial function can be thought of as a sum of these monomial functions. In previous lectures we have studied...
Curated Video
Comparing Polynomial Functions: Determining Which Function Exceeds the Other
In this lesson, students will learn how to determine which of two polynomial functions eventually exceeds the other by comparing their degrees. By understanding the end behavior of polynomial functions and analyzing the leading terms,...
Brian McLogan
What information can you learn from the graph of a polynomial
π Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Determining if a function is a polynomial or not then determine degree and LC
π Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Brian McLogan
How to Determine If a Polynomial is Even or Odd Algebraically
π Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Algebraically Determine If the Polynomial Function is Even or Odd
π Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Characteristics of Polynomials | Polynomials | Pre-Calculus
In this lesson we explore how to identify the zeros, multiplicity and end behavior of a polynomial when in factored form. We also use this information to sketch the graph of a polynomial.
Brian McLogan
Determine the end behavior of a factored polynomial
π Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Brian McLogan
Master Determining the the end behavior of a polynomial by using the leading coefficient test
Master Determining the the end behavior of a polynomial by using the leading coefficient test
Brian McLogan
Writing the end behavior of a polynomial using limits
π Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Brian McLogan
What is important to know about polynomials?
What is important to know about polynomials?
msvgo
Limits of Exponential and Logarithmic Functions
It introduces the limit of exponential and logarithmic functions and their derivation. It also provides some solved examples to evaluate the limits of such functions.
Brian McLogan
Write the end behavior of a polynomial factored out
π Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Brian McLogan
Factoring a Fourth Degree Polynomial to Find the Zeros
π Learn how to find all the zeros of a polynomial in the form of the difference of two squares. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive...
Brian McLogan
Finding all the Solutions of a Higher Order Polynomial by Factoring
π Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Brian McLogan
Learn how to find the antiderivative of a polynomial
π Learn how to find the antiderivative (integral) of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as...
Professor Dave Explains
Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros
How to graph higher-degree polynomials.
Khan Academy
Interesting Polynomial Coefficient Problem
This is an interesting problem that approaches higher-degree polynomials from a different perspective. Given a third-degree polynomial, two known zeros, and a y-intercept, find the value of the polynomialΓs coefficients. This problem...
Flipped Math
Graphing Polynomial Functions
Take a look in the window. Pupils watch a presentation to discover how to graph a polynomial using a graphing calculator and using the window to find the extrema. Scholars use their knowledge from previous lessons to gain a rough idea of...