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.
SO
Related Maths A Level answers
All answers ▸How to write an algebraic fraction in a given form e.g. (3+13x-6x^2)/(2x-3) as Ax + B + C/(2x-3) where A, B and C are natural numbers
What are the advantages of using numerical integration (Trapezium rule, Simpson's rule and so on) over direct integration?
When using the trapezium rule to approximate area underneath a curve between 2 limits, what is the effect of increasing the number of strips used?
How do i find dy/dx in terms of t for two parametric equations that are in terms of t.