Last updated on Sep 20, 2026

Applications of Polynomial Functions (VCE SSCE Mathematical Methods): Quizzes

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Applications of Polynomial Functions

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For a 12 cm square with corners cut, what is the volume formula where $x$ is the cut size?

$V = x(12-2x)^2$

What is the domain restriction for $x$ in the 12 cm box problem?

$0 \leq x \leq 6$

What is the maximum volume for the 12 cm square box?

128 cm³

At what values of $x$ does the 12 cm box have a volume of 100 cm³?

$x = 1$ cm and $x \approx 3.21$ cm

What type of polynomial model is $V = x(12-2x)^2$ ?

Cubic polynomial

What is the maximum deviation from the x-axis for the stream path model?

38.21 metres

For the stream cubic $f(x) = ax^3 + bx^2 + cx + d$ through $(0,0)$ , what is $d$ ?

$d = 0$

What is the domain for $x$ in the 10 cm × 12 cm rectangular tray problem?

$0 \leq x \leq 5$

Which CAS command finds where two functions meet?

Intersection command

Why must solutions be checked in application problems?

Not all math solutions are physically meaningful

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