Consider the expression −4+6x2−9x3+2x. Answer the questions that follow.
(i) Rewrite the expression in descending powers of x.
(ii) Explain why the rearranged expression is classified as a cubic polynomial.
(iii) State, with reasons, whether this polynomial is a monomial, binomial, or trinomial.
(iv) Compare it with the polynomial 5x2+1 and distinguish between the two on the basis of degree and number of terms.