polynomial equation

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

2 practice marks

Original practice question

Solve the equation $x^{2} + x - 6 = 0$ for $x$.

Worked explanation

• Factor the polynomial

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

• Set each factor to zero

  \[x = -3, x = 2\]

[-3, 2]

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