Factorising Quiz

1. Which expression is the fully factorised form of $6x+9$?

• A. $3(2x+3)$
• B. $2(3x+4)$
• C. $6(x+9)$
• D. $3x(2+3)$

2. Factorise $x^2+9x+20$.

• A. $(x+4)(x+5)$
• B. $(x+2)(x+10)$
• C. $(x-4)(x-5)$
• D. $(x+20)(x+1)$

3. What is the highest common factor of $10x^2y$ and $15xy^2$?

• A. $5xy$
• B. $5x^2y^2$
• C. $10xy$
• D. $xy$

4. Factorise $2x^2+7x+3$.

• A. $(2x+1)(x+3)$
• B. $(2x+3)(x+1)$
• C. $(x+1)(x+6)$
• D. $(2x+7)(x+1)$

5. Simplify $\dfrac{x^2-16}{x^2-2x-8}$ fully.

• A. $\dfrac{x+4}{x+2}$
• B. $\dfrac{x-4}{x-2}$
• C. $\dfrac{x+4}{x-2}$
• D. $\dfrac{x-4}{x+2}$