Instructional Video8:42
Curated Video

Solving Other Types of Equations 1 - Using substitution to change equations into quadratics

6th - Higher Ed
In this video, we use substitution to take equations and rewrite them in the form of a quadratic so that we can solve them.
Instructional Video3:40
Brian McLogan

Given three real 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 Video5:16
Brian McLogan

Given a list of 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 Video6:15
Brian McLogan

How to classify 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 Video3:53
Brian McLogan

Learn how to classify a polynomial based on the degree

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 Video2:27
Brian McLogan

Classify and determine the leading coefficient and degree of a polynomiall

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 integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Instructional Video2:00
Brian McLogan

How to find the zeros of a quadratic polynomial by factoring

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Instructional Video5:25
Brian McLogan

How and when to apply synthetic division of two polynomials

12th - Higher Ed
πŸ‘‰ 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 variable, the solution for...
Instructional Video0:36
Brian McLogan

Labeling a polynomial based on the degree and number of terms

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 integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Instructional Video8:05
Brian McLogan

Learning how to determine end behavior of any polynomial

12th - Higher Ed
πŸ‘‰ 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 Video4:04
Brian McLogan

Learning how to find all the possible rational zeros of a polynomial using 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 Video9:55
Curated Video

Sketching Higher Order Polynomials: Focus on Quartics

Higher Ed
The video is a lecture presentation on sketching higher order polynomials, specifically quartic functions. The presenter explains how the graph of the function changes as the power of the variable increases and examines the similarities...
Instructional Video3:47
Brian McLogan

Learning how to complete synthetic division

12th - Higher Ed
πŸ‘‰ 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 variable, the solution for...
Instructional Video2:03
Brian McLogan

What are the formulas for the sum and difference of two cubes

12th - Higher Ed
πŸ‘‰ Learn how to factor polynomials using the sum or difference of two cubes. 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...
Instructional Video14:50
Brian McLogan

How to divide two polynomials using long division

12th - Higher Ed
πŸ‘‰ 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 Video1:40
Brian McLogan

Applying synthetic division when your dividend is missing a term

12th - Higher Ed
πŸ‘‰ 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 Video1:51
Brian McLogan

Given a table of points learn how to find the degree and number of turning points

12th - Higher Ed
πŸ‘‰ Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...
Instructional Video4:52
Brian McLogan

Using the remainder theorem and checking your answer with synthetic division

12th - Higher Ed
πŸ‘‰ 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 Video3:36
Brian McLogan

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

12th - Higher Ed
πŸ‘‰ 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 Video2:17
Brian McLogan

Classifying a polynomial expression by subtraction

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 Video2:38
Brian McLogan

How to write a polynomial in standard form when divided by a number

12th - Higher Ed
πŸ‘‰ Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...
Instructional Video7:03
Brian McLogan

How to use long division for dividing two polynomials

12th - Higher Ed
πŸ‘‰ 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 Video3:37
Brian McLogan

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

12th - Higher Ed
πŸ‘‰ 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 Video8:59
Brian McLogan

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

12th - Higher Ed
πŸ‘‰ 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)....