Factor Theorem and Remainder TheoremEdexcel International A Level Maths: Mind map

Exam questions on Factor Theorem and Remainder Theorem

1. Let $f(x)=x^3-7x+6$.
   Show that $(x+3)$ is a factor of $f(x)$.2 marks
2. Let $g(x)=2x^3+x^2-13x+6$.
   Show that $(x+3)$ is a factor of $g(x)$.2 marks
3. Let $f(x)=6x^3+11x^2-3x-2$.
   Show that $(x+2)$ is a factor of $f(x)$, and find the quadratic $q(x)$ such that $f(x)=(x+2)q(x)$.3 marks