Question: Define x as a symbolic variable. (a) Derive the equation of the polynomial that has the roots x = -2, x = -0.5, x =

Define x as a symbolic variable.
(a) Derive the equation of the polynomial that has the roots x = -2,
x = -0.5, x = 2, and x = 4.5.
(b) Determine the roots of the polynomial
f(x) = x6 - 6.5x5 - 58x4 + 167.5x3 + 728x2 - 890x - 1400
by using the factor command.

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