Instructional Video11:25
Brian McLogan

If you Want an A You Need to know how to divide these polynomials

12th - Higher Ed
If you Want an A You Need to know how to divide these polynomials
Instructional Video6:37
Brian McLogan

Using Rational Zero Test and All 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 Video1:21
Brian McLogan

What is the remainder theorem for polynomials

12th - Higher Ed
👉 Learn about the remainder theorem and the factor theorem. The remainder theorem states that when a polynomial is divided by a linear expression of the form (x - k), the remainder from the division is equivalent to f(k). Similarly, when...
Instructional Video2:38
Brian McLogan

Determine the possible rational zeros using 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 Video6:07
Brian McLogan

Learn the basics of applying synthetic division to divide two polynomials

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 Video2:43
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 Video7:07
Brian McLogan

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

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 Video7:12
Brian McLogan

Given a zero find the remaining zeros

12th - Higher Ed
👉 Learn how to find all the zeros of a polynomial given one irrational 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 Video2:52
Brian McLogan

Applying the reciprocal rule with negative exponents to simplify an expression

12th - Higher Ed
👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual...
Instructional Video7:51
Brian McLogan

Given a Zero as a Fraction, Find the Remaining Zeros of the Polynomial

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 Video6:40
Brian McLogan

Apply synthetic division with missing terms and check your answer with remainder theorem

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 Video5:02
Brian McLogan

Apply Descartes rule of signs to a polynomial to find the roots

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 Video6:38
Brian McLogan

What does Descartes rule of signs tell us

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 Video4:52
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 Video3:24
Brian McLogan

What is synthetic division and how do we set it up

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 unknown, the solution for...
Instructional Video4:48
Brian McLogan

Determining Factors and Listing the Zeros of a Polynomial 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 Video5:07
Brian McLogan

Learn How to Use the Rational Zero Test to Find 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 Video10:36
Brian McLogan

Applying Rational Zero Test Then Find All of the Zeros

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 Video5:18
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 Video3:29
Brian McLogan

How to Determine 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 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 Video13:04
Brian McLogan

Master Determining the number of real positive, real negative and complex zeros, descartes rule of s

12th - Higher Ed
Master Determining the number of real positive, real negative and complex zeros, descartes rule of s
Instructional Video4:16
Brian McLogan

SYTHENTIC DIVISION mistakes

12th - Higher Ed
Students often prefer sythentic division over long division because it is "easier" and faster. However students still make many mistakes and in this video I will highlight some of the most common mistakes.
Instructional Video5:23
Brian McLogan

How to use synthetic division to divide two polynomials forgot to write the quotient out

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...