Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

(x+1)(x+2) = ( x^2 + 3x + 2) - multiplying out the first 2 terms(x^2 + 3x + 2)(x + 3) = x^3 + 3x^2 + 2x + 3x^2 + 9x + 6 - multiplying the product of the first two terms by the last termx^3 + 6x^2 + 11x + 6 - collecting like terms
a = 1b = 6c=11d=6

Answered by Rachel K. Maths tutor

5616 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Question: Factorise the expressions: 1. X^2 - 9 2. 2X^2 - 14X + 24


A ladder 6·8m long is leaning against a wall. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall.


Sam and Jack share out £80 in the ratio 5:3, in that order. How much do they each get?


Factorise fully X^2 - 6X + 8


We're here to help

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