polynomial equation

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

2 practice marks

Original practice question

Find the solutions of $2 t^{2} - 8 t - 10 = 0$.

Worked explanation

  • Factor the polynomial

    \[2 x^{2} - 8 x - 10 = \left(x + 1\right) \left(2 x - 10\right)\]

  • Set each factor to zero

    \[x = -1, x = 5\]

[-1, 5]

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