Mathematics Past Questions and Answers

Find the inverse of p under the binary operation * defined by p*q = p + q - pq, where p and q are real numbers and zero is the identity

Evaluate (1/2 - 1/4 - 1/8 - 1/16 + ...) - 1

if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax³ + bx² + cx - 1, find a, b, c in that order.

A trader realizes 10x - x\(^2\) naira profit from the sale of x bags on corn. How many bags will give him the desired profit?

Solve the inequality 2 - x > x\(^2\).