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

RK
Answered by Rachel K. Maths tutor

6409 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

make x the subject of 5(x-3) = y(4-3x)


In an office there are twice as many females as males. 1/4 of females wear glasses. 3/8 of males wear glasses. 84 people in the office wear glasses. What is the total number of people in the office?


Solve the following simultaneous equations for x and y. 2x+5y=9 and 4x-3y=7


How do i solve the quadratic x^2 + 5x + 6 = 0 ?


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