Brian McLogan
Master how to find all of the zeros of a polynomial when given one irrational zero
Master how to find all of the zeros of a polynomial when given one irrational zero
Brian McLogan
What is the leading coefficient test
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Using long division to divide two polynomials then determine the remaining zeros from quot
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
Synthetic division when quadratic divisor
Synthetic Division is pretty simple and straightforward when the divisor is linear but what about quadratic. In this video, I will show you how to apply synthetic division with quadratic divisors
Brian McLogan
Pre-Calculus - Applying distributive property with complex numbers 5i (3-2i)
In this math tutorial I will show you how to multiply complex numbers. Complex numbers come in the form of a +bi. Multiplying complex numbers carry some of the same properties as multiplying polynomials. However when simplifying we will...
Brian McLogan
Write the equation of the polynomial given the zeros
👉 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...
Brian McLogan
Write the equation of a polynomial given irrational zeros
👉 Learn how to write the equation of a polynomial when given irrational 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....
Brian McLogan
Write the equation of a polynomial given binomial irrational zeros
👉 Learn how to write the equation of a polynomial when given irrational 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....
Brian McLogan
When You Have One Complex Zero Find the Remaining Zeros of the Polynomial
👉 Learn how to find all the zeros of a polynomial given one complex 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...
Brian McLogan
Using four zeros to find a polynomial function - Online tutor
👉 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...
Brian McLogan
What do you need to know factor polynomials
👉 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...
Brian McLogan
Using long division between two polynomials
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
Solving Rational Equations with an extraneous solution, how to check
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...
Brian McLogan
Learn how to divide polynomials using long division
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
How to write the polynomial equation when given three zeros
👉 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...
Brian McLogan
Determine the end behavior of a graph as well as the zeros and degree
👉 Learn how to determine the end behavior of a polynomial function from the graph of the function. To do this we look at the endpoints of the graph to see if it rises or falls as the value of x increases. If the graph of the polynomial...
Brian McLogan
Determine all of the possible positive, negative and complex zeros of a polynomial
👉 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...
Brian McLogan
To Pass Your Class You Must Know How to Divide These Polynomials
Lets cover the most popular types of problems you should expect to see regarding synthetic division with polynomials. These problems you will want to master to make sure you are set up for success to pass your class.
Curated Video
Adding and Subtracting Polynomials: Understanding Monomials, Degrees, and Classifying Polynomials
This video is a lesson on adding and subtracting polynomials. The teacher covers topics such as monomials, classifying polynomials, finding the degree of a polynomial, and using the vertical and horizontal methods to add and subtract...
Brian McLogan
Learn how to evaluate a polynomial with fractions
👉 Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Brian McLogan
How to classify a polynomial by expanding
👉 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...
Brian McLogan
Given a Irrational Factor, Find All the Zeros
👉 Learn how to find all the zeros of a polynomial given one irrational 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...