Divisor — Algebra II, what it means and where it is taught
The polynomial you are dividing by.
Taught in Algebra II.
Where it is taught
What it rests on
Work through these first if this one does not settle.
- Polynomial — A sum of terms, each a number times a whole-number power of the variable.
What uses it later
This idea is needed for:
- Remainder — What is left when the divisor no longer fits. Always lower degree than the divisor.
Practise this idea
4 questions in the course bank use Divisor, in Dividing Polynomials & the Factor Theorem, Decimals & Long Division, Dividing Fractions.
Problem 1
Factor x3-7x+6 completely. Give the three roots, smallest first, separated by commas.
Worked answer
-3,1,2
f(1)=1-7+6=0
Dividing gives x2+x-6=(x+3)(x-2)
Roots -3, 1, 2
Problem 2
Which list contains every possible rational root of x3-2x2+x-6?
- ±1,±2,±3,±6
- ±1,±2
- ±1,±6
- ±2,±3
Worked answer
±1,±2,±3,±6
The constant is -6
Its divisors are 1, 2, 3, 6, positive and negative
Problem 3
Work out 1.44 ÷ 0.6.
Worked answer
2.4
14.4 ÷ 6 = 2.4
Problem 4
How many 34-metre ribbons can be cut from 6 metres?
Worked answer
8
6 × 43 = 8