Factor theorem — Algebra II, what it means and where it is taught
If f(a) = 0 then x - a is a factor, and the other way round.
Taught in Algebra II.
Where it is taught
What it rests on
Work through these first if this one does not settle.
- Factor — A number that divides evenly into another.
Practise this idea
1 question in the course bank use Factor theorem, in Dividing Polynomials & the Factor Theorem.
Problem 1
If f(3)=0, which of these is a factor of f(x)?
- x-3
- x+3
- 3x
- x
Worked answer
x-3
A root at 3 means x-3 divides exactly