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Brian McLogan
What you need to know | Polynomials
In this video I will cover the topics and processes you will need to know before starting Polynomials. We will begin by solving quadratic equations using the zero product property, factoring trinomials, solving quadratic equations using...
Brian McLogan
Learning step by step how to divide polynomials using synthetic division
👉 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...
Brian McLogan
Finding all the Solutions of a Higher Order Polynomial by Factoring
👉 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...
Brian McLogan
How To Solve a Polynomial Equation Raised to the Fourth Power
👉 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...
Brian McLogan
Write the end behavior of a polynomial factored out
👉 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....
Brian McLogan
Learn how to find the end behavior of a factored polynomial
👉 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....
Brian McLogan
Given the imaginary zeros find the equation of the polynomial
👉 Learn how to write the equation of a polynomial when given imaginary 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...
Brian McLogan
Learn how to divide polynomials using long division with a quadratic divisor
👉 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...
Brian McLogan
Graphing a fourth degree polynomial
👉 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...
Brian McLogan
Master how to divide two polynomials using long division with missing terms
Master how to divide two polynomials using long division with missing terms
Brian McLogan
Master How to graph a polynomial in factored form
Master How to graph a polynomial in factored form
Brian McLogan
Master Determining the the end behavior of a polynomial by using the leading coefficient test
Master Determining the the end behavior of a polynomial by using the leading coefficient test
Brian McLogan
Master how to factor a higher order polynomial by grouping
Master how to factor a higher order polynomial by grouping
Brian McLogan
Write the equation of the polynomial given the zeros
👉 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...
Brian McLogan
Write the equation of a polynomial given binomial irrational zeros
👉 Learn how to write the equation of a polynomial when given irrational 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....
Brian McLogan
Master how to find all of the zeros of a polynomial when given one irrational zero
Master how to find all of the zeros of a polynomial when given one irrational zero
Brian McLogan
Complex Zeros of Polynomials | Polynomials | Pre-Calculus
In this video we explore how to determine the complex zeros of a polynomial function by factoring and division. We also will explore the fundamental theorem of algebra, Descartes rule of signs, and the rational zero test.
Brian McLogan
How to determine the end behavior from the product of factors
👉 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....
Brian McLogan
Determining If a Polynomial Function is Even or Odd
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
What is the Remainder Theorem
👉 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...
Brian McLogan
How to use the rational zero test to determine all possible rational zeros
👉 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...
Brian McLogan
When do we have an oblique, slant asymptote for a rational function
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Brian McLogan
Learn how to determine if a function is power function and identify constant and power
In this video playlist you will learn all about polynomials. We will learn how to find the zeros of a polynomial by factoring and then finding more zeros by applying Descartes Rule of Signs as well as the Rational zero test. We will use...
Brian McLogan
What are bounded functions and how do you determine the boundness
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...