Question

A real number is a called a zero of the polynomial f(x), if (a) f(a)=-1, (b) f(a)=1, (c) f(a)=0, (d) f (a)=-2
​

Answer 1

Answer:

the correct answer is c

Answer 2

Given :  A real number is a called a zero of the polynomial f(x),

To Find :   which option is correct  

f(a)=-1, (b) f(a)=1, (c) f(a)=0, (d) f (a)=-2

Solution:

a zero of the polynomial f(x),   is the value of  x at which f(x) becomes zero

if a is the zero of the polynomial

=> f(a) = 0

substitute x = a  in f(x) and result will be zero

=> ( x - a) is a factor of f(x)  

option c is correct

f(a) = o if  a  is  zero of the polynomial f(x)

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