Checkpoint 1 of 3 Covers Lessons 1–5

Checkpoint 1: Polynomial Basics, Division & Factor Theorem

Test your understanding of polynomial definitions, division, the Remainder Theorem, and the Factor Theorem.

Multiple Choice

This checkpoint is not available yet.

Its question set has not been written, so there is nothing here to attempt. Nothing you have done is lost, and the lessons either side of it are unaffected.

To test yourself on this material now, use the module quiz, which covers the same content.

Short Answer

1. State the degree and leading coefficient of $P(x)=4x^6-2x^3+x-5$. (2 marks)

2. Find the remainder when $x^3+3x^2-2x+1$ is divided by $(x-1)$. (2 marks)

3. Use the Factor Theorem to show that $(x+2)$ is a factor of $x^3+2x^2-5x-6$. (2 marks)

4. Fully factorise $x^3-7x+6$. (3 marks)