Recognise and classify a polynomial practice questions | Mathematical Methods (Year 12, VCE Units 3 & 4, Applications of differentiation, Tangents, normals and curve sketching)

(a)1 mark

Which expression is a polynomial in \(x\)?

x^{3} - 2x^{2} + 8x - 2

x^{r} - 2x^{2} + 8x - 2

(b)3 marks

For the following polynomial \(P(x)=x^{3} - 2x^{2} + 8x - 2\), state its degree, leading coefficient and constant coefficient

degree Leading coefficient Constant coefficient

(c)1 mark

Is \(P(x)\) monic?

Not monic

Monic