3.03 Factorise cubic polynomials

Interactive practice questions

Factorise $x^3+27$x3+27.

Easy

1min

Factorise $x^3+y^3$x3+y3.

Easy

1min

Factorise $x^3-64$x3−64.

Easy

1min

Factorise $x^3+64y^3$x3+64y3.

Easy

1min

factorisation patterns, the quadratic formula and discriminant, the remainder, factor and rational root theorems and the null factor law

express a cubic polynomial p x( ), with integer coefficients, in the form 𝑝(𝑥) = (𝑥 − 𝑎)𝑞(𝑥) + 𝑟 and determine p(x)/(x-a), by hand