The number of polynomials `f(x)` with non-negative integer coefficients of degree < 2, satisfying `f(0) = 0` and `int_0^1f(x)dx=1` is

The number of polynomials p(x) with integer coefficients such that the curve y = p(x) passes through (2, 2) and (4, 5) is

The least degree of a polynomial with integer coefficient whose one of the roots may be cos 12^@ is

The least degree of a polynomial with integer coefficient whose one of the roots may be cos 12^(@) is

The least degree of a polynomial with integer coefficient whose one of the roots may be cos 12^@ is

Let f(x) and g(x) be two polynomials (with real coefficients) having degrees 3 and 4 respectively. What is the degree of f(x)g(x)?

Let P(x) be a non-zero polynomial with integer coefficients.If P(n) is divisible for each positive integer n, what is the vale of P(0)?

The average of all the non-negative integers upto 99 is :