Instructional Video3:28
Brian McLogan

Find the zeros and multiplicity by factoring a polynomial

12th - Higher Ed
πŸ‘‰ 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 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 Video6:37
Brian McLogan

Using Rational Zero Test and All Zeros of a Polynomial

12th - Higher Ed
πŸ‘‰ 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 Video2:08
Brian McLogan

Use the zero product property with polynomials to find the zeros

12th - Higher Ed
πŸ‘‰ Learn how to find all the zeros of a factored 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...
Instructional Video3:25
Brian McLogan

Solving a Polynomial to Find all of the Zeros from the Factors

12th - Higher Ed
πŸ‘‰ 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 Video7:07
Brian McLogan

Learn how to find all the zeros and graph a polynomial using synthetic division

12th - Higher Ed
πŸ‘‰ 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 Video5:30
Brian McLogan

Solving a perfect square trinomial with multiple terms

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring. We will focus on factoring special techniques such as the zero product property, difference of two squares, box method and guess and check. Once we have factored the quadratic...
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 Video5:14
Brian McLogan

Learn how to sketch the graph of a polynomial given factored form using multiplicity

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

Find all of the Zeros of a Polynomial by Factoring

12th - Higher Ed
πŸ‘‰ 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 Video6:58
Brian McLogan

Sketching the graph of a polynomial using the zeros and multiplicity

12th - Higher Ed
πŸ‘‰ 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 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 Video2:21
Brian McLogan

Write the linear factorization and solve quadratic

12th - Higher Ed
πŸ‘‰ 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 Video6:41
Brian McLogan

Graphing a quadratic function by finding the vertex and x - intercepts

12th - Higher Ed
πŸ‘‰ Learn how to graph quadratic equations by completing the square. 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...
Instructional Video5:10
Brian McLogan

How to find the zeros, intercepts, and multiplicity

12th - Higher Ed
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...
Instructional Video5:18
Brian McLogan

How to apply synthetic division when the zero is a fraction

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 Video2:42
Brian McLogan

Find the roots of a quadratic equation by factoring

12th - Higher Ed
πŸ‘‰ 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 Video2:08
Brian McLogan

Find all the possible rational zeros given a polynomial

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 Video3:12
Brian McLogan

Sketch the graph of a factored polynomial using multiplicity

12th - Higher Ed
πŸ‘‰ 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 Video2:01
Brian McLogan

Multiplying a monomial by a binomial

12th - Higher Ed
In this video playlist I will show you the basics for polynomial functions. We will start with factoring polynomial equations to determine the zeros of a polynomial. We will then learn how to write the polynomial given a set of zeros....
Instructional Video1:24
Brian McLogan

Applying the rules of exponents to multiply to monomials

12th - Higher Ed
πŸ‘‰ 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 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 Video8:26
Brian McLogan

Learning how to apply long division between two polynomials

12th - Higher Ed
πŸ‘‰ 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...