1. Algebra and Functions

Algebraic Manipulation — Quiz

Test your understanding of algebraic manipulation with 5 practice questions.

Practice Questions

Question 1

Given that $(x + 2)(x^2 + ax + b) \equiv x^3 - x^2 - 10x - 8$, find the values of $a$ and $b$.

Question 2

Simplify the expression: $$\frac{x^3 - 3x^2 - 10x}{x^2 - 25}$$

Question 3

Expand and simplify the expression: $$(x - 2)(x^2 + 2x + 4)$$

Question 4

Factorise completely the expression $$2x^4 - 32$$

Question 5

Given that $\frac{x^2 + kx - 12}{x - 3} \equiv x + 4$, find the value of $k$.