Brian McLogan
Finding the vertical and horizontal asymptote of a function
👉 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...
Brian McLogan
Apply synthetic division with missing terms and check your answer with remainder theorem
👉 Learn about dividing by synthetic division when there is a missing power. 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...
Brian McLogan
How to apply transformations to graph the quadratic equation
👉 Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Brian McLogan
Find all of the Zeros of a Polynomial by Factoring
👉 Learn how to find all the zeros of a polynomial. 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 polynomial are the values...
Brian McLogan
Apply Descartes rule of signs to a polynomial to find the roots
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Algebra 2 - What is the complex conjugate throrem
In this video series I show you how to write the equation of a polynomial when given the zeros. To do this we need to work backwards from solving the zeros of a polynomial to construct a polynomial. We first convert our zeros into...
Brian McLogan
Solve with difference of two cubes, find all the zeros, linear factors
👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....
Brian McLogan
Sketching the graph of a polynomial using the zeros and multiplicity
👉 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...
Brian McLogan
What does Descartes rule of signs tell us
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Write the equation of the polynomial given the zeros
👉 Learn how to write the equation of a polynomial when given complex 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
Using the remainder theorem and checking your answer with synthetic division
👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Brian McLogan
Write the linear factorization and solve quadratic
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Brian McLogan
Use the rational zero test on a quadratic
👉 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
How to write the equation of a polynomial with two integer 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
Learn how to determine the number of imaginary,real positive &real negative zeros of a polynomial
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Determining Factors and Listing the Zeros of a Polynomial Using Synthetic Division
👉 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...
Brian McLogan
Divide two polynomials by using 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
Learn How to Use the Rational Zero Test to Find the Zeros of a Polynomial
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Curated Video
Reading and Writing Whole Numbers (Base-ten numerals)
Read and write multi-digit whole numbers in base-ten numerals.
Curated Video
Multiplying and Dividing by Multiples of 10
In this video, students learn how to multiply and divide by multiples of 10 by moving the decimal point. The teacher explains the concept of multiples of 10 and the base 10 system. Using examples and a place value chart, the teacher...
Packt
CompTIA Network+ Certification N10-007: The Total Course - Meet the Frame
This video introduces you to frame, the primary data encapsulation unit. This clip is from the chapter "Network Models" of the series "CompTIA Network+ Certification N10-007: The Total Course".In this section, you will learn to work on...
Brian McLogan
Solving a quadratic using the square root method when there are no solutions
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Applying Rational Zero Test Then Find All of the Zeros
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Brian McLogan
How to find the zeros, intercepts, and multiplicity
In this math tutorial I show you how to find the real zeros of a polynomial function by solving for x using algebraic techniques such as factoring, completing the square and the quadratic formula. I also show you how to determine the...