Unit 2, Lesson 12
Polynomial Division (Part 1)
Algebra 2
Practice
Problem 1
The polynomial function \(p(x)=x^3-3x^2-10x+24\) has a known factor of \((x-4)\).
- Rewrite \(p(x)\) as the product of linear factors.
- Sketch a graph of the function.
Problem 2
Tyler thinks he knows one of the linear factors of \(P(x)=x^3-9x^2+23x-15\). After finding that \(P(1)=0\), he suspects that \(x-1\) is a factor of \(P(x)\). Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?
| \(x^2\) | \(\text-8x\) | -15 | |
|---|---|---|---|
| \(x\) | \(x^3\) | \(\text-8x^2\) | \(\text-15x\) |
| 1 | \(x^2\) | \(\text-8x\) | -15 |