Given the polynomial p(x) = 8x⁶ - 5x⁴ - 10x³ + 35x and z = 2, solve the following:
(a) Convert the polynomial to nested form (reduced form).
(b) Use the Horner method to express p(x) as q(x)(x-z) + b0 and calculate p(z).
(c) Express p(x) as r(x)(x-z)² + c1(x-z) + b0 and calculate.
