Manipulating and factorising polynomialsEdexcel International A Level Maths: Mind map

Exam questions on Manipulating and factorising polynomials

1. The polynomial $f(x)=x^3+4x^2+3x$ is defined for real $x$.
   Solve $f(x)=0$.2 marks
2. The function $g(x)=(2x-1)(x+3)^2$ is defined for real $x$.
   Show that $g(x)=2x^3+11x^2+12x-9$.2 marks
3. The polynomials $h(x)=x^3-9x$ and $k(x)=x^2-x-12$ are defined for real $x$.
   Factorise $h(x)$ completely.3 marks