Statement of Remainder Theorem Let be a polynomial of degree one or more than one and let be any real number. Now, if the polynomial is divided by the linear polynomial , then the remainder of the polynomial is . Explanation of remainder theorem Dividend = Divisor = Quotient = Remainder … Read more
To understand the concept of the Remainder of a polynomial let us first understand what is a Remainder.
What are the Zeros of a Polynomial? The Zeros of a Polynomial may be defined as the values of the variable or the variables present in the polynomial for which the whole Polynomial becomes Zero are called Zeros of the Polynomial. Example of Zeros of a Polynomial Here, for , the value of the polynomial … Read more
Degree of a Polynomial Definition The degree of a polynomial is the highest power of any variable present in the polynomial. Examples of Degree of a Polynomial For the above polynomial, the highest power of is . Therefore, the degree of the polynomial is . Here, the highest power of the variable is . Therefore, … Read more
The various types of polynomials are as follows: Constant Polynomials The polynomials which do not have any variables but have only constants are called constant polynomials. Every number that can be represented in the number line is a constant polynomial. Some examples of constant polynomials are: etc. However, the number is called zero polynomial. Linear … Read more
Terms of a Polynomial The terms of a polynomial are the parts of the polynomial that are separated by either additive (+) or subtractive (-) signs. To understand the terms of a polynomial, let us take an example: Here, x2 is the first term of the polynomial. Similarly, 2x and 4 are the 2nd and … Read more
Definition of Polynomials The Polynomials may be defined as the Algebraic Expressions in which the Exponent or Power of all the variables present in the expression is a Whole Number. If the Exponent or Power of any variable is a Fraction or Negative, then, the Algebraic expression can not be considered as a polynomial. Symbol … Read more