It looks like you've uploaded a worksheet titled
"The Remainder Theorem", which contains several problems related to evaluating polynomials using the
Remainder Theorem.
However, since I cannot view images directly, I need you to either:
1.
Describe the problems in the image (e.g., list the polynomial and the value of $ x $ for each problem), or
2.
Type out the content of the worksheet so I can help you solve it step by step.
---
🔍 What is the Remainder Theorem?
The
Remainder Theorem states:
> If a polynomial $ f(x) $ is divided by $ x - c $, the remainder is $ f(c) $.
So, to find the remainder when dividing $ f(x) $ by $ x - c $, simply evaluate $ f(c) $.
---
Example Problem:
Suppose one of the problems is:
Find the remainder when $ f(x) = x^3 - 2x^2 + 3x - 4 $ is divided by $ x - 2 $.
Solution:
Use the Remainder Theorem:
Evaluate $ f(2) $:
$$
f(2) = (2)^3 - 2(2)^2 + 3(2) - 4 = 8 - 8 + 6 - 4 = 2
$$
✔ So, the remainder is
2.
---
Please provide the actual problems from the image (copy-paste them here), and I’ll solve each one with clear explanations!
Parent Tip: Review the logic above to help your child master the concept of synthetic division worksheet answers.
