Polynomials, factor theorem and algebraic divisionEdexcel A-Level Maths: Mind map

Exam questions on Polynomials, factor theorem and algebraic division

1. The polynomial $f(x)=x^3+3x^2-4$.
   Hence solve $f(x)=0$, stating which root is repeated.2 marks
2. The polynomial $g(x)=2x^3+x^2-13x+6$.
   Given that $(x-2)$ is a factor, factorise $g(x)$ completely.2 marks
3. The polynomial $p(x)=2x^3+ax^2-x+6$, where $a$ is a constant, has a factor $(x-2)$.
   Find the value of $a$.3 marks