How do you use factor theorem to show an algebraic term is a factor of a polynomial?

For example show that x + 3 is a factor of p(x) = x- 5x2 - 8x + 48

We need to show that when x = -3, p(x) = 0. If this is the case then x + 3 is a factor of p(x)

putting x = -3 into the polynomial we obtain:

p(x) = - 27 - 45 + 24 + 48 = 0 therefore x + 3 is a factor of p(x).

Answered by Elliot T. Maths tutor

3195 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the stationary points of the equation. f(x)=3x^2+4x.


Question shown in the answer section as a hyperlinked link.


b) The tangent to C at P meets the coordinate axes at the points Q and R. Show that the area of the triangle OQR, where O is the origin, is 9/(3-e)


How do I integrate fractions of quadratic or cubic terms?


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