Recognise and classify a polynomial practice questions | Mathematical Methods (Year 11, VCE Units 1 & 2, Cubic polynomials, Cubic polynomial forms and operations)

(a)1 mark

Choose the expression classified as a polynomial in \(q\)

q^{3} + 5q^{2} - 6q + 7q^{5/2}

q^{3} + 5q^{2} - 6q + 7

(b)3 marks

For the following polynomial \(P(q)=q^{3} + 5q^{2} - 6q + 7\), state its degree, leading coefficient and constant coefficient

degree Leading coefficient Constant coefficient

(c)1 mark

Is \(P(q)\) monic?

Monic

Not monic