Question

If f(x) is a polynomial such that f(a) f(b) < 0, then what is the number of zeros lying between a and b?

Answer 1

SOLUTION :  

If f(x) is a polynomial such that f(a) f(b) < 0 , then the value of the polynomial are of different sign for a and b.

Hence, the number of zeros lying between a and b is at least one zero.

** ZEROES OF A POLYNOMIAL :  

A real number k is said to be zero of a polynomial f(x) , if f(x)  = 0 .

★★ Every real number is a zero of the zero polynomial.

HOPE THIS ANSWER WILL HELP YOU..

Answer 2

Answer:

At least one zero

Step-by-step explanation:

If f(x) is a polynomial such that f(a)f(b) 0 then this means that the value of the polynomial are of different sign for a and b.

Hence, at least one zero will be lying between a and b.