Classifying Polynomials by Degree and Terms
Terms:
*The first classification in Polynomials is a monomial.
-A monomial is a singular term. (example: 5, 2x)
*The second classification is a binomial.
-A binomial has two terms. (example: 2x+5)
*The third classification is a trinomial.
-A trinomial has three terms. (example: 3x^2+5x-1)
*The fourth classification is a polynomial of 4.
-A polynomial of four has four terms. (example: 6x^3+4x^2-8x+9)
*The fifth classification is a polynomial of 5.
-A polynomial of five has five terms. (example: 2x^5+6x^4-8x^2+9x+1)
(Further number of terms are just said as the number there is of them)
Degrees:
*Having no degree is constant. (example: 6)
*The first degree is linear. (example: x+4)
*The second degree is quadratic. (example: x^2)
*The third degree is cubic. (example: 2x^3)
*The fourth degree is quartic. (example: 6x^4)
*The fifth degree is quintic. (example: 3x^5)
(Further numbers are just said as the are)
*The first classification in Polynomials is a monomial.
-A monomial is a singular term. (example: 5, 2x)
*The second classification is a binomial.
-A binomial has two terms. (example: 2x+5)
*The third classification is a trinomial.
-A trinomial has three terms. (example: 3x^2+5x-1)
*The fourth classification is a polynomial of 4.
-A polynomial of four has four terms. (example: 6x^3+4x^2-8x+9)
*The fifth classification is a polynomial of 5.
-A polynomial of five has five terms. (example: 2x^5+6x^4-8x^2+9x+1)
(Further number of terms are just said as the number there is of them)
Degrees:
*Having no degree is constant. (example: 6)
*The first degree is linear. (example: x+4)
*The second degree is quadratic. (example: x^2)
*The third degree is cubic. (example: 2x^3)
*The fourth degree is quartic. (example: 6x^4)
*The fifth degree is quintic. (example: 3x^5)
(Further numbers are just said as the are)
Standard Form & Factored Form
*The standard form of a polynomial is putting the terms with the highest degree first and then going to lower ones in order.
-(example:3x^2-7-2x^3+x^5) -Then you have to put the terms into order.- (example: x^5-2x^3+3x^2-7)
*This video will explain how to put polynomials into factored form.
-(example:3x^2-7-2x^3+x^5) -Then you have to put the terms into order.- (example: x^5-2x^3+3x^2-7)
*This video will explain how to put polynomials into factored form.
Zeros and Multiplicity
*This video will show you how to find the zeros and multiplicities of polynomials.
Dividing Polynomials
Here is how to divide using long division for polynomials.
Here is how to divide using synthetic division for polynomials.
Remainder Theorem:
-The remainder theorem is used in conjunction with synthetic division to find a functional value by plugging in the answer you get from the division. Once you plug in the number to "x" if you get the value of anything other than zero, the term is not a factor.
-The remainder theorem is used in conjunction with synthetic division to find a functional value by plugging in the answer you get from the division. Once you plug in the number to "x" if you get the value of anything other than zero, the term is not a factor.
Sum & Difference of Cubes
This video will show how to find the sum and difference of cubes.