Remainder theorem — Algebra II, what it means and where it is taught
Dividing f(x) by x - a leaves remainder f(a).
Taught in Algebra II.
Where it is taught
What it rests on
Work through these first if this one does not settle.
- Remainder — What is left when the divisor no longer fits. Always lower degree than the divisor.
Practise this idea
1 question in the course bank use Remainder theorem, in Dividing Polynomials & the Factor Theorem.
Problem 1
Find the remainder when f(x)=x2+3x-5 is divided by x-1.
Worked answer
-1
f(1)=1+3-5=-1