CHAPTER 2 POLYNOMIALS
DEGREE OF A POLYNOMIAL The degree of a polynomial is the highest power of the variable. For e.g. in x^{3}+x^{2}+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.
REMAINDER THEOREM 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).
FACTOR THEOREM If p(x) is a polynomial of degree n≥1 and is any real number, then:
SOME MORE ALGEBRAIC IDENTITIES:
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