Factorising expressionsIB MYP Maths Standard: Mind map

Exam questions on Factorising expressions

1. A rectangular banner has area $(x^2+9x+20)$ square centimetres. Its length and width are expressions in $x$ of the form $(x+p)$ and $(x+q)$.
   A second banner has area $(x^2+9x)$ cm$^2$. Factorise this expression, and hence find the width of this banner when its length is $(x+9)$ cm.2 marks
2. A rectangular tile has area $(x^2-49)$ square centimetres.
   Factorise fully $3x^2-75$.2 marks
3. A rectangular vegetable bed has area $(x^2+3x-10)$ square metres and length $(x+5)$ metres, where $x>2$.
   Factorise $x^2+3x-10$ and hence write down an expression for the width of the bed.3 marks