Show that (x-2) is a factor of 3x^3 -8x^2 +3x+2

The factor theorem states that a polynomial f(x) has a factor (x-k) if and only if f(k)=0. 
f(2) = 3(2)^3 - 8(2)^2 + 3(2) + 2 = 3(8) - 8(4) + 6 + 2 = 24 - 32 + 8 = 0.
==> (x-2) is a factor.

Answered by Samantha O. Maths tutor

4948 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the inequality x(x+2)>8 for x.


Figure 1 shows a sector AOB of a circle with centre O and radius r cm. The angle AOB is θ radians. The area of the sector AOB is 11 cm2 Given that the perimeter of the sector is 4 times the length of the arc AB, find the exact value of r.


Differentiate 2x/cos(x)


What is the amplitude and period of y=3sin(5x)?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences