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Dr. G.P.
เข้าร่วมเมื่อ 31 ก.ค. 2020
Dividing Rational Expressions Using the Bottoms Up Method to Factor
The video walks through a division of rational expressions problem where factoring the expressions includes finding a GCF and polynomials with a leading coefficient other than one.
มุมมอง: 15
วีดีโอ
Dividing Rational Expressions
มุมมอง 194 ชั่วโมงที่ผ่านมา
An example of dividing rational expressions that requires only light factoring.
Simplifying Rational Expressions
มุมมอง 234 ชั่วโมงที่ผ่านมา
Several examples walk through how to simplify rational expressions, including examples that require and do not require factoring.
Multiplying Rational Expressions
มุมมอง 144 ชั่วโมงที่ผ่านมา
In this example, we multiply two rational expressions by first factoring and simplifying.
Finding the Inverse of Odd Index Radical
มุมมอง 38วันที่ผ่านมา
The video includes an example of finding the inverse of a 7th root radical function, along with the domain and range of the original and inverse functions.
Finding an Inverse from a Graph
มุมมอง 38วันที่ผ่านมา
Given a graph of a one-to-one function, we find and graph its inverse.
Inverse Functions: Definition and Finding an Inverse from an XY Chart
มุมมอง 25วันที่ผ่านมา
Definitions and theorems discussed include: notation of inverse functions, one-to-one functions, and the horizontal line test. An example of finding an inverse function from an XY chart is included.
Finding Inverses of Polynomials
มุมมอง 28วันที่ผ่านมา
After outlining the steps to algebraically finding an inverse, we find the inverse of a linear function and a fifth degree polynomial.
Multiplying 2x2 Matrices: Checking for Commutativity
มุมมอง 21วันที่ผ่านมา
After discussing the guidelines on matrix multiplication, we multiply two 2x2 matrices by hand to check if AB = BA [if the multiplication is commutative].
Given Graph of Two Functions: Find the Composition At a Given X Value
มุมมอง 37วันที่ผ่านมา
Given the actual graphs of two functions, the video walks through four different examples of how to find the composition of the two functions at a given value of x.
Composition of Functions Given an XY Chart
มุมมอง 27วันที่ผ่านมา
Given an XY chart for two separate functions, the video walks through four different function composition examples.
Given a Composite Function: Find the Original Two Functions
มุมมอง 31วันที่ผ่านมา
The video discusses two examples on how to identify the original two functions from a composite function [a function that is the composition of two other functions].
Composition of Functions: A Square Root with a Polynomial
มุมมอง 31วันที่ผ่านมา
Given a polynomial and a square root function, we find their composition and the domain of their composition.
Definition of Composition of Functions and Composition of Two Polynomials
มุมมอง 32วันที่ผ่านมา
After discussing the textbook definition for composition of functions, we work through three examples of composing two polynomial functions.
Synthesis of Polynomials: Combining Characteristics of Polynomials and Rational Zeros Theorem #2
มุมมอง 35วันที่ผ่านมา
Given a standard form polynomial, we are asked to identify the end behavior, degree, number of x-intercepts, the possible rational zeros using the Rational Zeros Theorem, all roots of the polynomial, the multiplicities of the zeros, the behavior of the graph at the zeros, and the factored form of the polynomial.
Synthesis of Polynomials: Combining Characteristics of Polynomials and Rational Zeros Theorem #1
มุมมอง 25วันที่ผ่านมา
Synthesis of Polynomials: Combining Characteristics of Polynomials and Rational Zeros Theorem #1
Synthesis of Polynomials: Finding an Equation from a Graph Ex #2
มุมมอง 24วันที่ผ่านมา
Synthesis of Polynomials: Finding an Equation from a Graph Ex #2
Finding Equation of a Fifth Degree Polynomial Given its Roots
มุมมอง 47วันที่ผ่านมา
Finding Equation of a Fifth Degree Polynomial Given its Roots
Find The Equation of a Third Degree Polynomial Given Its Zeros
มุมมอง 21วันที่ผ่านมา
Find The Equation of a Third Degree Polynomial Given Its Zeros
Synthesis of Polynomials: Writing an Equation from a Graph Example #1
มุมมอง 31วันที่ผ่านมา
Synthesis of Polynomials: Writing an Equation from a Graph Example #1
Example 3: Rational Roots Theorem and Finding All Zeros
มุมมอง 3414 วันที่ผ่านมา
Example 3: Rational Roots Theorem and Finding All Zeros
Graphs of Polynomials: Even Degree, Positive Leading Coefficient
มุมมอง 3414 วันที่ผ่านมา
Graphs of Polynomials: Even Degree, Positive Leading Coefficient
Graphs of Polynomials: Odd Degree, Negative Leading Coefficient
มุมมอง 3114 วันที่ผ่านมา
Graphs of Polynomials: Odd Degree, Negative Leading Coefficient
Graphs of Polynomials: Even Degree, Negative Leading Coefficient
มุมมอง 3314 วันที่ผ่านมา
Graphs of Polynomials: Even Degree, Negative Leading Coefficient
Polynomial Functions: Finding Characteristics of a Polynomial in Standard Form
มุมมอง 4621 วันที่ผ่านมา
Polynomial Functions: Finding Characteristics of a Polynomial in Standard Form
Polynomial Functions: Characteristics of a Polynomial in Factored Form
มุมมอง 5021 วันที่ผ่านมา
Polynomial Functions: Characteristics of a Polynomial in Factored Form
Applications of Quadratic Functions: Maximizing Profit
มุมมอง 3121 วันที่ผ่านมา
Applications of Quadratic Functions: Maximizing Profit
Applications of Quadratic Functions: Throwing a Ball
มุมมอง 4221 วันที่ผ่านมา
Applications of Quadratic Functions: Throwing a Ball
Polynomial Functions: Definition of Behavior of the Graph at the Zeros
มุมมอง 3221 วันที่ผ่านมา
Polynomial Functions: Definition of Behavior of the Graph at the Zeros
Impressive video, Dr. G.P.. Looking forward to your next upload. I smashed the thumbs up button on your content. Keep up the fantastic work! Your explanation of polynomial functions and their properties was clear and engaging. How do you think understanding the degree and domain of polynomials will affect students' approach to more complex functions in calculus?
Excellent ! THANKS.