Polynomial manipulation and algebraic divisionAQA A-Level Maths: Mind map

Exam questions on Polynomial manipulation and algebraic division

1. Let $p(x)=2x^3-x^2-13x-6$ and $q(x)=x^3+3x^2-5x+4$.
   Given that $(x+2)$ is a factor of $p(x)$, factorise $p(x)$ completely.2 marks
2. The expressions $A=x^4-81$ and $B=6x^2+7x-3$ are to be factorised.
   Factorise completely $x^3+3x^2-4x-12$.2 marks
3. Let $f(x)=3x^3+2x^2-19x+6$.
   Use algebraic division to show that $f(x)=(x-2)(3x^2+8x-3)$.3 marks