Polynomials-Types, Graphs, Factor and Remainder Theorem

Polynomials-Types, Graphs, Factor and Remainder Theorem

6) Definition of polynomial : 
    A polynomial is an algebraic expression in which each variable involved has power (exponent) a whole number. 
    Ex :\( 11x^6 - \sqrt 7 x^5 + 8z \), the power of variables in 11x6 is 6,
           \( - \sqrt 7 x^5 \)   is 5
           8z  is ____1
7) Polynomial in one variable :
    The algebraic expression like i)12x,   ii) 13x - 1     etc
Polynomial in two or more variables : 
    An algebraic expression, whose terms or more variables (literals) such that the exponent of each variable is a whole number is called a polynomial in two or more variables 
    Ex : 2) 3x² - 6xy +8y² is a polynomial in two variables x and y 
     is a polynomial in three variables x,y and z
Degree of a polynomial
    The greatest power (exponent) of the terms of a polynomial is called degree of a polynomial
    Ex : 1) 5x³ - 7x⁸+1  : Degree___8
           2) 3x _____3x¹_____Degree ___1
           3) 2m  - 7m⁸ + m¹³___Degree ___13