Instructional Video5:47
Brian McLogan

How to Completely Factor a Polynomial Using Synthetic Division

12th - Higher Ed
πŸ‘‰ Learn how to find all the zeros of a polynomial given one rational zero. 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...
Instructional Video4:32
Curated Video

Understanding Polynomials: Using Place Value and Expanded Form

K - 5th
In this video, you will learn how to use place value to understand polynomials. The video explains that polynomials are similar to the expanded form of a number, where each term has a different exponent. It demonstrates how to break down...
Instructional Video3:58
Brian McLogan

Learn How to Factor This Trinomial Using AC Method and Grouping

12th - Higher Ed
πŸ‘‰Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Instructional Video5:36
Brian McLogan

Determine the zeros of a polynomial by factoring

12th - Higher Ed
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Instructional Video4:16
Brian McLogan

Given three zeros learn how to write the equation of a polynomial

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Instructional Video2:30
Brian McLogan

Converting an exponential equation to logarithmic

12th - Higher Ed
πŸ‘‰ Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Instructional Video2:33
Brian McLogan

What does the fundamental theorem of algebra tell us about a polynomial

12th - Higher Ed
πŸ‘‰ Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The...
Instructional Video4:58
Brian McLogan

Given Two Factors and a Polynomial Find the Remaining Zeros

12th - Higher Ed
πŸ‘‰ Learn how to find all the zeros of a polynomial given one rational zero. 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...
Instructional Video2:57
Brian McLogan

Learn how to find the antiderivative of a polynomial

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video3:19
Brian McLogan

What is the division algorithm

12th - Higher Ed
πŸ‘‰ Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
Instructional Video3:46
Brian McLogan

How do you factor polynomials different techniques for different polynomials

12th - Higher Ed
πŸ‘‰ Learn how to factor polynomials. 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 it up...
Instructional Video6:57
Curated Video

Relate Factors and Zeros Using the Factor Theorem

K - 5th
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...
Instructional Video5:26
Brian McLogan

What is the rational zero test?

12th - Higher Ed
πŸ‘‰ Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Instructional Video2:06
Brian McLogan

How to identify the leading coefficient and degree of a polynomial

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video8:16
Brian McLogan

Learn how to graph a rational expression with symmetry about the origin

12th - Higher Ed
πŸ‘‰ Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video3:32
Brian McLogan

Using multiple properties of exponents to simplify an expression

12th - Higher Ed
πŸ‘‰ Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Instructional Video3:51
Brian McLogan

Summary for classifying polynomials

12th - Higher Ed
πŸ‘‰ Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Instructional Video1:29
Brian McLogan

Simplifying expressions using the rules of exponents, quotient property

12th - Higher Ed
πŸ‘‰ Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Instructional Video5:43
Brian McLogan

Overview of rational Zeros of a polynomial- Online Math Tutor

12th - Higher Ed
πŸ‘‰ Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Instructional Video4:07
Brian McLogan

What are complex conjugates

12th - Higher Ed
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Instructional Video12:03
Brian McLogan

Find zeros using sum and difference of two cubes

12th - Higher Ed
Find zeros using sum and difference of two cubes
Instructional Video0:58
Brian McLogan

Determining the leading coefficient and degree of a polynomial

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video3:52
Brian McLogan

Given a set of imaginary zeros find the polynomial

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a polynomial when given imaginary zeros. Recall that 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...
Instructional Video11:21
Professor Dave Explains

Derivatives of Polynomial Functions: Power Rule, Product Rule, and Quotient Rule

12th - Higher Ed
The derivation of the product rule and quotient rule for taking derivatives in calculus.