PolynomialTutorial on Polynomial

Class 9

What are Polynomials• Polynomials means Poly( many) and

nomials(terms). So it is many terms • It can have any term having

constants ,variable and exponents but the exponents should be whole number

• So all these are polynomial

x+1 , 5 , 5-x, 11x –y3 , x+y+z1+2y+2y2 ,1 .2 x +y , 6x-2

Polynomial continued• These are not polynomial

2/x+2 x-2

Why?As the exponent is not whole number• Polynomials are also classified based

on number termsOne term MonomialTwo term BinomialThree terms trinomial

Polynomial on One variable𝑆 ( 𝑥 )=𝑎𝑛 𝑥𝑛+𝑎𝑛−1𝑥𝑛− 1+𝑎𝑛−2𝑥𝑛− 2+…………+𝑎𝑥+𝑎0Points to remember

an, an-1…………. Coefficient of xn, xn-1

n Called the degree of polynomial

If S(x)=0 It is called zero polynomial

If S(x) =a0 It is called constant polynomial

If for x=a S(x)=0 a is the called zero of polynomial

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