a. The volume, in cubic centimetres, of a rectangular prism can be represented by the polynomial function 𝑉(𝑥) = 𝑥3 − 5𝑥

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a. The volume, in cubic centimetres, of a rectangular prism canbe represented by the polynomial function 𝑉(𝑥) =𝑥3 − 5𝑥2 − 4𝑥 + 20. The length ofthe prism in centimetres is (x + 2). Determine binomial expressionsfor the other two dimensions of the prism in terms of x.
b. Use a table of values to sketch the graph of thepolynomial function: (4 marks) 𝑓(𝑥) = 𝑥4 −6𝑥3 + 8𝑥2 + 6𝑥 − 9