A fruit seller has a certain number of mangoes of which 5% are rotten. He sells 75% of the remainder and he is left with 95 mangoes. How many mangoes did he have originally?
Let \( f(x) = a_{0}x^{n} + a_{1}x^{n-1} + a_{2}x^{n-2} + \ldots + a_{n-1}x + a_{n} \), where \( a_{0}, a_{1}, a_{2}, \ldots, a_{n} \) are real numbers. If f(x) is divided by (ax − b), then the remainder is
If the HCF of polynomials \( f(x) = (x - 1)(x^{2} + 3x + a) \) and \( g(x) = (x + 2)(x^{2} + 2x + b) \) is \( (x^{2} + x - 2) \), then what are the values of a and b respectively?
