Given (x-2) is a factor of ax^3 + ax^2 + ax - 42, find the value of a

let f(x) = ax^3 + ax^2 + ax - 42if x-2 is a factor of f(x), then by remainder theorem, f(2) = 0and:a(2)^3 + a(2)^2 + a(2) -42 = 08a + 4a + 2a - 42 = 014a = 42a = 3

Answered by Maths tutor

4097 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find dy/dx when y = (3x-1)^10


Find where the graph of y=3x^2+7x-6 crosses the x axis


By using the substitution x = tan(u), find the integral of [1 / (x^2+1) dx] between the limits 1 and 0


Express (2x-14)/(x^2+2x-15) as partial fractions


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