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 not factorizable into linear factors,then it has no real zero.(Trueffalse).

Graph of quadratic polynomial When polynomial is factorable into two distinct factors

State 'T' for true and 'F' for false and select the correct option. I. If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeroes are coincident. II. If a quadratic polynomial f(x) is not factorisable into linear factors, then it has no real zero. III. If graph of quadratic polynomial ax^(2)+bx+c cuts positive direction of y-axis, then the sign of c is positive. IV. If fourth degree polynomial is divided by a quadratic polynomial, then the degree of the remainder is 2.

If a quadratic polynomial f(x) is a square of a linear polynomial,then its two zeroes are coincident.(True/false)

What will be the number of real zeros of the polynomial x^(2)+1 ?

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?

A quadratic polynomial with two distinct roots has one real root. Then, the other root is

Let f(x),g(x), and h(x) be the quadratic polynomials having positive leading coefficients and real and distinct roots.If each pair of them has a common root,then find the roots of f(x)+g(x)+h(x)=0

If f(x)=x^(3)-3x+1, then the number of distinct real roots of the equation f(f(x))=0 is