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 \(b\)?

b^{2} - b + 3

b^{-2} - b + 3

(b)3 marks

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

degree Leading coefficient Constant coefficient

(c)1 mark

Is \(P(b)\) monic?

Not monic

Monic