polynomial equation

Practise polynomial equation with an original VectorPaths question, worked explanation and related VCE Methods practice.

2 practice marks

Original practice question

Find all values of $x$ such that $x^{3} - 6 x^{2} + 9 x = 0$.

Worked explanation

• Factor the polynomial

  \[x^{3} - 6 x^{2} + 9 x = x \left(x - 3\right)^{2}\]

• Set each factor to zero

  \[x = 0, x = 3\]

[0, 3]

Original VectorPaths practice; not an official VCAA question or marking rubric.