Polynomials and partial fractions

  • Multiplication and division of polynomials

  • Use of remainder and factor theorems, including factorising polynomials and solving cubic equations

  • Use of:

– a3 + b3 = (a + b) (a2 – ab + b2)

– a3 – b3 = (a – b) (a2 + ab + b2)

  • Partial fractions with cases where the denominator is no more complicated than:

– (ax + b)(cx +d)

– (ax + b)(cx +d)2

– (ax + b)(x2 +c2 )