Curated Video
Rewriting Polynomial Expressions by Factoring
In this lesson, students will learn how to rewrite polynomial expressions by factoring to simplify common factors. They will develop their skills in identifying the greatest common factor and using it to rewrite the expression.
Why U
Algebra 85 - Building Polynomial Functions
Because of the tremendous variety of shapes of their graphs, polynomial functions are important tools for modeling phenomena in a wide range of fields such as science, engineering, medicine and finance. But since polynomial functions are...
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 86 - Graphing Polynomial Functions - Part 1
Calculators and graphing utilities are available that are capable of creating accurate graphs of polynomial functions. However, it is often desirable to sketch a quick representation of a function's graph to get a general idea of its...
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
Polynomial Identity and Combined Area of Consecutive Squares
In this video lesson, students will learn how to describe the combined area of two squares using consecutive integers. They will explore polynomial identities and how to write expressions to represent the relationship between consecutive...
Brian McLogan
Learn how to simplify and rationalize the denominator of a polynomial expression ex 4
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Apply operations and then write the polynomial in standard form and find degree and LC
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Brian McLogan
Write a polynomial in descending power order then label the degree and LC
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...
Brian McLogan
Factor a polynomial expression completely over real numbers
Learn how to factor higher order trinomials. 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. To factor an algebraic expression means to break...
Brian McLogan
Factoring a third degree polynomial with four terms by grouping
👉 In this polynomial, I will show you how to factor different types of polynomials. Such as polynomials with two, three, and four terms in addition to polynomials to the second third, fourth, fifth, and sixth power.
Curated Video
Rewrite polynomial expressions by factoring
In this lesson you will learn to rewrite polynomial expressions by factoring to simplify common factors.
Curated Video
Relate Factors and Zeros Using the Factor Theorem
This video explains the relationship between factors and zeros of a polynomial using the factor theorem. The remainder theorem is also discussed as a precursor to understanding the factor theorem. Review how to determine if a polynomial...
Why U
Algebra 83 - Polynomials
This lecture is an introduction to polynomials. Linear functions and quadratic functions which we have studied in previous lectures are both examples of a broader class of functions called polynomial functions. In this lecture, we will...
Khan Academy
The Parts of Polynomial Expressions, Polynomial and Rational Functions, Algebra II
Use this video to build mathematical vocabulary through practical application. Sal breaks down the parts of a polynomial expression, identifying the coefficient and exponents while he defines them.
Khan Academy
Khan Academy: Algebra: Polynomials 1
Video demonstrates how to write a polynomial that represents the difference between the area of a rectangle of given length and width and the area of a circle with a given diameter. [4:37]
Khan Academy
Khan Academy: Algebra: Polynomials 2
Demonstrates how to write a polynomial expression for a given situation. [1:24]
Khan Academy
Khan Academy: Polynomial Basics: Polynomials1
This video demonstrates how to write a polynomial that represents the difference between the area of a rectangle of given length and width and the area of a circle with a given diameter.
Khan Academy
Khan Academy: Polynomial Basics: Polynomials 2
This video shows how to write a polynomial expression for a given situation.