Instructional Video2:26
Brian McLogan

Dividing two polynomials using synthetic division

12th - Higher Ed
👉 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...
Instructional Video11:33
Brian McLogan

Overview of zeros of a polynomial - Online Tutor - Free Math Videos

12th - Higher Ed
👉 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 Video1:24
Brian McLogan

Applying the rules of exponents to multiply to monomials

12th - Higher Ed
👉 Learn how to simplify expressions using the product rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and an exponent which is the sum of...
Instructional Video3:53
Brian McLogan

Math tutorial for how to use and apply the rational zero test

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 Video5:27
Brian McLogan

How to use and apply Descartes Rule of signs

12th - Higher Ed
👉 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...
Instructional Video5:52
Brian McLogan

Divide 3 Different Polynomials Using Synthetic Division Step by Step

12th - Higher Ed
In this video I will go over how to understand synthetic division by working through three different examples.
Instructional Video11:05
Brian McLogan

How to graph a rational function using 6 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 Video8:41
Brian McLogan

Given two linear Factors find the remaining zeros

12th - Higher Ed
👉 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 Video33:34
Brian McLogan

Find all the zeros given a zero or factor

12th - Higher Ed
Find all the zeros given a zero or factor
Instructional Video3:37
Brian McLogan

How to divide using synthetic division and write your remainder over your divisor

12th - Higher Ed
👉 Learn about dividing by synthetic division when the divisor is a fraction. 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...
Instructional Video4:55
Brian McLogan

Give One Imaginary Zero Find the Remaining Zeros

12th - Higher Ed
👉 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...
Instructional Video1:56
Brian McLogan

Given a Factor Find the Quotient and Write as a Product of Factors

12th - Higher Ed
👉 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 Video2:02
Brian McLogan

Applying synthetic division to a polynomial with missing terms

12th - Higher Ed
👉 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...
Instructional Video11:32
Brian McLogan

Master Dividing two polynomials using synthetic division

12th - Higher Ed
Master Dividing two polynomials using synthetic division
Instructional Video3:53
Brian McLogan

Why does synethetic division different than long division

12th - Higher Ed
👉 Learn about dividing by synthetic division when the divisor is a fraction. 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...
Instructional Video4:44
Brian McLogan

Using the remainder theorem to confirm if you have a zero or not

12th - Higher Ed
👉 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...
Instructional Video8:59
Brian McLogan

Learn how to solve a polynomial using the difference of two cubes and quadratic formula

12th - Higher Ed
👉 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)....
Instructional Video9:37
Brian McLogan

How to Determine All of the Zeros of a Polynomial

12th - Higher Ed
👉 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...
Instructional Video10:50
Brian McLogan

Graph a rational function with vertical and oblique asymptotes

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 Video6:30
Brian McLogan

Given a Complex Zero Find the Remaining Zeros Using Synthetic Division

12th - Higher Ed
👉 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...
Instructional Video3:49
Brian McLogan

Given One Factor Find All of the Remaining Factors Using Synthetic Division

12th - Higher Ed
👉 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 Video3:42
Brian McLogan

Finding the Remaining Factors When Given One Factor

12th - Higher Ed
👉 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 Video5:04
Brian McLogan

Finding the Zeros Given One Complex Zeros

12th - Higher Ed
👉 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...
Instructional Video5:55
Brian McLogan

Solve an equation with a rational term

12th - Higher Ed
👉 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 expressions, one...