Express x^2 + 10x – 3 in the form (x + p)^2 + q
= We start by halfing the 10 and putting x + 5 in a bracket = (x + 5)^2 = Opening these brackets give us x^2 + 10x + 25 = To make the 25 the same as - 3 we have to minus 28 = Therefore the answer is = (x + 5)^2 - 28= This method is known as "completing the square"
HP
Related Maths GCSE answers
All answers ▸Prove that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.
Solve 3x - 5 < 16
(This was taken from a GCSE past paper)A bag of 24 spoons costs £19.95. A box of 18 forks costs £15.55. Bags and boxes cannot be split. Gregor decides to buy the same number of spoons as forks. He places an order to buy the smallest number of each
3(x-2) - 2(x-2)