Database - Factor Theorem (Questions for new syllabus)

For sec 3 Add Maths students to practise,

Question

Show that a - b is a factor of f(a) = a^3 - b^3 and factorise completely a^3 - b^3.

Hence, factorise completely a^6 - b^6.

For sec 3 add maths students to practise,

Question

Solve the equation x^6 - 64 = (x^2+4)^2 - 4x^2