Show that (x+1)(x+2)(x+3) can be written as ax^3+bx^2+cx+d

Start by multiplying any 2 brackets together: (x + 1)(x + 2): Split the 1st bracket: x(x+2) + 1(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2 Then multiply that answer with the last bracket: (x + 3)(x^2 + 3x + 2): Split the 1st bracket: x(x^2 +3x + 2) +3(x^2 +3x + 2)= x^3 + 3x^2 + 2x + 3x^2+ 9x + 6 = x^3 + 6x^2 + 11x + 6 . a = 1, b = 6, c = 11, d = 6.

RS
Answered by Rushab S. Maths tutor

3200 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does Harry receive?


A cone has radius 6cm and height 5cm. Work out its volume in terms of pi. (Formula for the volume of a cone is V=(1/3)pi(r)^2h)


Solve the simultaneous equations: 3x + y = 19 and x - 2y = -3


Jess wants to buy 30 mugs for her tea party. She can buy them at Shop A at £3.49 each or at Shop B as a pack of 30 at £58 plus VAT at 20%. She wants to get the cheapest option. Which shop should she buy from?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences