Class 9 Maths Polynomials Zeroes of Polynomial

Zeroes of Polynomial

Zeroes of a polynomial p(x) is real number ‘a’  for which polynomial p(x) if p(a) = 0.

E.g.: For p(x) = x-2  ,   p(2) = 2-2 =0.    Thus 2 is zeroes for polynomial p(x)= x-2

Note: Every real number is a zero of the zero polynomial p(x)=0.

There is no Zero for polynomial p(x)=8.

Zeroes of a polynomial is special. It is used to find factors of equation p(x)=0.

Zeroes of a polynomial p(x) is real number ‘a’  for which polynomial p(x) if p(a) = 0. In this case, a is also called a root.

E.g.: For equation P(x) = x2-4, Zeroes are 2 & -2 since p(2)= p(-2)=0. Once we find zeroes, we can easily find the factors. For this equation x2-4=0, factors are (x-2) & (x+2) using remainder theorem.

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