Instructional Video3:10
Brian McLogan

Learn how to find all the possible rational zeros of a polynomial

12th - Higher Ed
👉 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 Video10:00
Brian McLogan

How to divide a trinomial into a polynomial using long division

12th - Higher Ed
👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Instructional Video2:35
Brian McLogan

How to find end behavior of a polynomial by identifying the degree and leading coefficient

12th - Higher Ed
👉 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...
Instructional Video2:39
Brian McLogan

How to determine end behavior of a polynomial using leading coefficient test

12th - Higher Ed
👉 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...
Instructional Video4:06
Brian McLogan

Classify a polynomial and determine the end behavior to fifth degree

12th - Higher Ed
👉 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...
Instructional Video2:16
Brian McLogan

Determining the possible rational zeros by putting p over q

12th - Higher Ed
👉 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 Video4:30
Brian McLogan

How to write polynomial with a LC of two

12th - Higher Ed
How to write polynomial with a LC of two
Instructional Video2:29
Brian McLogan

Subtracting two radical expressions when the coefficients are not the same

12th - Higher Ed
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Instructional Video1:12
Brian McLogan

Classify a polynomial and determine degree and leading coefficient

12th - Higher Ed
👉 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 Video7:08
Brian McLogan

Finding the asymptotes

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video8:14
Brian McLogan

Overview of asymptotes of a rational function, vertical horizontal and slant

12th - Higher Ed
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Instructional Video3:02
Brian McLogan

Writing the polynomial in standard form so that you can find end behavior

12th - Higher Ed
👉 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...
Instructional Video1:31
Brian McLogan

Vertical and Horizontal asymptotes of a rational function

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video2:41
Brian McLogan

How to write a polynomial in standard form

12th - Higher Ed
👉 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...
Instructional Video3:21
Brian McLogan

Determine all of the possible rational zeros of a polynomial

12th - Higher Ed
👉 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 Video5:13
Brian McLogan

Learn how to write the end behavior from a polynomial in factored form

12th - Higher Ed
👉 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....
Instructional Video2:59
Brian McLogan

Learn how to find the end behavior given a graph of a polynomial

12th - Higher Ed
👉 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...
Instructional Video3:24
Brian McLogan

What is synthetic division and how do we set it up

12th - Higher Ed
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the unknown, the solution for...
Instructional Video3:36
Brian McLogan

Identifying the leading coefficient and degree to write the end behavior of a polynomial

12th - Higher Ed
👉 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...
Instructional Video1:21
Brian McLogan

Write the polynomial in standard form and determine the degree and LC

12th - Higher Ed
👉 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 Video0:56
Brian McLogan

Algebra 2 - How to find the degree and LC of a polynomial by writing in standard form

12th - Higher Ed
👉 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 Video9:48
Brian McLogan

Graphing rational functions using 5 steps

12th - Higher Ed
👉 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 Video59:27
Brian McLogan

Zeros of Polynomials | Polynomials | Pre-Calculus

12th - Higher Ed
In this video we will cover how to determine the real zeros of a polynomial by factoring as well as writing the equation of a polynomial given the zeros and multiplicity. We will focus on factoring polynomials with two, three and four...
Instructional Video3:12
Brian McLogan

Sketch the graph of a factored polynomial using multiplicity

12th - Higher Ed
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the...