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

JH
Answered by Jay H. Maths tutor

4634 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the first derivative of r=sin(theta+sqrt[theta+1]) with respect to theta.


Use simultaneous equations to find the points where the following lines cross: 3x - y = 4 and x^2 + 7y = 5


Given the circumference x^2 - 2x + y^2 = 3, find the position of the center P and the value of the Radius. Then find the intercepts with the y axis and the tangent to the circumference at the positive y intercept.


Differentiate (3x)e^(3x)


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning