Problem 29

Factorise P(x) =  2x⁷ + 5x⁴ + 3.

Problem 2

Prove that aⁿ – bⁿ = (a – b) (a^{n – 1} + a^{n – 2}.b +… +a.b^{n – 2} + b^{n – 1}) for all natural numbers n > 1.

Problem 1

Prove that n² + n, where n is a whole number, is divisible by 2.