Mathematics

Problem

A cubic polynomial

p(x)

has zeros

-2,\;3,\;3

and leading coefficient

5

. (i) Write

p(x)

in factored form. (ii) Expand

p(x)

completely and arrange the terms in descending powers of

x

. (iii) Find the sum of all coefficients of

p(x)

. (iv) Evaluate

p(-1)