The polynomial p(x) is, p(x)= x3-5x2-8x+48.Use the Factor Theorem to show that (x + 3)is a factor of p(X)

First of all it is using the factor theorem. 

so need to use that to show it is a factor 

We do this by P of (-3) should = 0 

So substitute x with -3 

 p(-3)= (-3)3 - 5 (-3)2- (-3)8 + 48

= 0 

-27-45+24+48=0 

MB
Answered by Mehr-Un-Nisa B. Maths tutor

5391 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the coordinates of the centre of the circle with equation: x^2 + y^2 − 2*x + 14*y = 0


When you are working out dy/dx = 0, why do you do this and what does it mean?


Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.


Find the x values for stationary points in the curve y=3sin(2x) for 0<x<180


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