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` ?`

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?

If a and b are two distinct real roots of the polynomial f(x) such that a

If a and b are two distinct real roots of the polynomial f(x) such that a < b , then there exists a real number c lying between a and b , such that

Let a and b be two distinct roots of a polynomial equation f(x) =0 Then there exist at least one root lying between a and b of the polynomial equation

Let a and b be two distinct roots of a polynomial equation f(x) =0 Then there exist at least one root lying between a and b of the polynomial equation

Let f(x) be a non - constant polynomial such that f(a)=f(b)=f(c)=2. Then the minimum number of roots of the equation f''(x)=0" in "x in (a, c) is/are

Let f(x) be a non - constant polynomial such that f(a)=f(b)=f(c)=2. Then the minimum number of roots of the equation f''(x)=0" in "x in (a, c) is/are

If a quadratic polynomial f(x) is factorizable into linear distinct factors, then what is the total number of real and distinct zeros of f(x) ?

If a quadratic polynomial f(x) is factorizable into linear distinct factors,then what is the total number of real and distinct zeros of f(x)?