Instructional Video6:25
Brian McLogan

Determine the number of extrema of a polynomial

12th - Higher Ed
👉 Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...
Instructional Video1:44
Brian McLogan

Multiplying Binomials and Trinomials the Easy Way - Math Tutorial

12th - Higher Ed
👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
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 Video6:22
Brian McLogan

Given two complex zeros & a real write the equation of the polynomial

12th - Higher Ed
👉 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...
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 Video18:48
Brian McLogan

Factoring polynomials to find the zeros and multiplicity

12th - Higher Ed
Factoring polynomials to find the zeros and multiplicity
Instructional Video6:43
Brian McLogan

Applying descartes rule of signs to determine the number or real positive & negative zeros

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 Video4:56
Brian McLogan

How to sketch the graph a polynomial using factors and 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...
Instructional Video2:18
Brian McLogan

How to find the real root of a cubic function

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

How to expand a polynomial in factored form to determine the end behavior

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 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 Video5:34
Brian McLogan

Finding All of the Zeros of a Polynomial Including Complex

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 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 Video3:29
Brian McLogan

Factoring when a is greater than one

12th - Higher Ed
Learn how to factor higher order trinomials. 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...
Instructional Video1:32
Brian McLogan

Factoring a polynomial by using the grouping technique

12th - Higher Ed
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Instructional Video2:58
Brian McLogan

Factor by Grouping to Find the Zeros and Write the Linear Factorization

12th - Higher Ed
👉 Learn how to find all the zeros of a polynomial by grouping. 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...
Instructional Video13:02
Brian McLogan

Write the polynomial with complex zeros

12th - Higher Ed
Write the polynomial with complex zeros
Instructional Video8:45
Brian McLogan

Using end behavior, zeros and the intermediate value theorem to graph a polynomial

12th - Higher Ed
👉 Learn how to use the tools needed to graph a Polynomial function in standard form. The tools we will use to help us graph are end behavior, finding the zeros by factoring synthetic division as well as identify the multiplicity of each...
Instructional Video3:51
Brian McLogan

Write the equation of the polynomial given the zeros

12th - Higher Ed
👉 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...
Instructional Video5:16
Brian McLogan

What is the leading coefficient 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 Video2:50
Brian McLogan

Using long division to divide polynomials - Math tutorial

12th - Higher Ed
👉 Learn how to divide polynomials by binomial divisors using the long division algorithm. A binomial is an algebraic expression having two terms. Before dividing a polynomial, it is usually important to arrange the divisor in the...
Instructional Video2:24
Brian McLogan

Learn how to factor a polynomial by using the grouping technique

12th - Higher Ed
Learn how to factor polynomials by grouping. 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...
Instructional Video10:21
Brian McLogan

Dividing polynomials using long division

12th - Higher Ed
👉 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...