CHAPTER 2 POLYNOMIALS
DEGREE OF A POLYNOMIAL
The degree of a polynomial is the highest power of the variable. For e.g. in x3+x2+1 the degree is 2.
A polynomial of degree one is called a linear polynomial.
A polynomial of degree two is called a quadratic polynomial.
A polynomial of degree three is called is a cubic polynomial.
ZERO OF A POLYNOMIAL
A zero of a polynomial p(x) is a number c such that p(c)=0.
Let p(x) be any polynomial of degree greater than or equal to one and let ‘a’ be any real number. If p(x) is divided by the linear polynomial x−a, then the remainder is p(a).
If p(x) is a polynomial of degree n≥1 and is any real number, then:
SOME MORE ALGEBRAIC IDENTITIES: