Prove that for all real values of xxx:
x2+8x>2x−12 x^2 + 8x > 2x - 12 x2+8x>2x−12"If I add 4 to a number and then square the sum, the result is greater than the square of the original number."
State, giving a reason, if the above statement is always true, sometimes true or never true.
257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.