Instructional Video4:52
Brian McLogan

Using the remainder theorem and checking your answer with synthetic division

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 Video5:18
Brian McLogan

How to apply synthetic division when the zero is a fraction

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 Video2:08
Brian McLogan

Find all the possible rational zeros given a polynomial

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 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 Video2:38
Brian McLogan

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

12th - Higher Ed
👉 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 Video8:26
Brian McLogan

Learning how to apply long division between two polynomials

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...
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 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 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 Video3:10
Brian McLogan

How to Find the Zeros of a Polynomial by Factoring to the 4th Power

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 Video8:44
Brian McLogan

Learn How to Solve a Polynomial Using the Difference of Two Cubes

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 Video9:31
Brian McLogan

How to find the zeros of a polynomial using the sum of two cubes

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 Video1:33
Brian McLogan

How to factor a trinomial raised to the 4th power by factoring out GCF

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 Video5:38
Brian McLogan

Learn how to write the polynomial equation given complex 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 Video4:39
Brian McLogan

Learning to find the zeros of a cubic trinomial by factoring

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 Video8:00
Brian McLogan

Using Descartes Rule of Signs to determine possible number of solutions

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 Video4:23
Brian McLogan

How to Solve a Polynomial to a Higher Power by Raising the Power of Your Factors

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 Video3:03
Brian McLogan

Finding all the roots of a cubic polynomial by factoring

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 Video1:01
Brian McLogan

Learning to Find the Zeros and Multiplicity of a Polynomial in Factored Form

12th - Higher Ed
👉 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 Video1:24
Brian McLogan

How to write the final answer of a problem using synthetic division

12th - Higher Ed
👉 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 Video5:23
Brian McLogan

How to use long division to understand linear factorization and zeros

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...
Instructional Video3:26
Brian McLogan

When given three rational zeros learn to write the polynomial equation

12th - Higher Ed
👉 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...