Polynomials Workbook-1

If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x).

A polynomial of degree 1 is called a linear polynomial. 

A polynomial of degree 2 is called a quadratic polynomial. The name ‘quadratic’ to derived from the word ‘quadrate’ which means square.

A polynomial of degree 3 is called a cubic polynomial.

Constant: The value of constant remains same throughout in a particular situation i.e., the value of constant does not change in a problem.

 Variable: A variable is a unknown quantity which is generally represented by an English alphabet like x,y,a,z etc,

Polynomial: A function p(x) of the from

p(x) = a0 + a1x + a2x2 + a3x3 + … + anxn  is called a polynomial,

where  a0,a1,a2,a3,..an are real numbers and are called coefficients of the polynomial and n is non-negative positive integer.

MonomialA polynomial having one term is called monomial.

BinomialA polynomial having two terms is called Binomial.

Trinomial: A polynomial having three terms is called a Trinomial.

  Biquadratic PolynomialA polynomial of degree four is called a Biquadratic Polynomial. it is represented  as ax4 + bx3 + cx2 + dx + e and a is not equal to 0.