Mathematics Tes...

The sum equals

Consider the polynomial equation x⁴ – 2x³ + 3x² – 4x + 1 = 0. Which one of the following statements describes correctly the solution set of this equation ?

If the sum  and lie in [1, 15] then a + b + c equals

The polynomial function f (x) satisfies the equation f (x) – f (x – 2) = (2x – 1)² for all x. If p and q are the coefficient of x² and x respectively in f (x), then p + q is equal to

A real number x is chosen at random such that 0 < x < 100. The probability that  where a and b are relatively primes and [x] denotes the greatest integer then (b – a) equals

Let R be a relation defined in the set of real numbers by a R b ⇔ 1 + ab > 0. Then R is :

In an experiment with 15 observations on x, the following results were available 

Σx² = 2830, Σx = 170

One observation that was 20, we found to be wrong and was replaced by the correct value 30. Then, the corrected variance is :

If p and q are two statements, then

If f be a continuous function on [0, 1], differentiable in (0, 1) such that f (1) = 0, then their exists some c  (0, 1) such that 

If |z|  4, then the maximum value of |iz + 3 – 4i| is equal to