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 $2 m^{2} + 12 m + 16 = 0$ for $m$.

Worked explanation

• Factor the polynomial

  \[2 x^{2} + 12 x + 16 = \left(x + 2\right) \left(2 x + 8\right)\]

• Set each factor to zero

  \[x = -4, x = -2\]

[-4, -2]

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