Write 2x2+ 12x + 3 in the form p(x + q)2+ r

Write 2x2+ 12x + 3 in the form p(x + q)2+ r Step 1: Factorise all the x terms using a common factor with brackets. In this case 2 is a common factor to both 2x2and 12x ==== Step 1 Answer: 2(x2+6x)+3 Step 2: Complete the square.In this case (x2+6x) = ((x+3)2-9) ====Step 2 Answer: 2((x+3)2-9)+3 Step 3: Multiply out the brackets. In this case multiple -9 by 2 and remove the first bracket ====Step 3 Answer: 2(x+3)2-18 + 3 Step 4: Complete the addition and obtain the format p(x + q)2+ r ====Step 4 Answer: 2(x+3)2-15 Hence p = 2, q = 3, r = -15

Answered by Juhi S. Maths tutor

20062 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

You are given a square which you are told has a total area of 100 squared centimetres. You are also told that one side of the square has dimension 4(3x + 2), and the other has dimension 8x - y. What are the values of x and y?


3x^2 + 7x - 13 = 0. What is x?


What is the value of 5^15 / (5^3)^3


Solve the simultaneous equations 3x + 2y = 4 and 4x + 5y = 17


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences