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

3237 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

x^2 + y^2 + 10x + 2y - 4xy = 10. Find dy/dx in terms of x and y, fully simplifying your answer.


How to do Integration by Parts?


What's the point of Maths?


A triangle has sides A, B and C. The side BC has length 20cm, the angle ABC is 50 deg and angle BAC is 68 deg. a) Show that the length of AC is 16.5cm, correct to three significant figures. b) The midpoint of BC is M, hence find the length of AM


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