Observe that (x-r)(x-s)(x-t)= +(rs+rt+st)x-rst. a. Derive a result for cubic polynomial...

Observe that (x-r)(x-s)(x-t)= +(rs+rt+st)x-rst.

a. Derive a result for cubic polynomials similar to the result in part (a) of exercise 60 for quadratic polynomials.

b. Can - 8x - 27 be written as a product of three polynomials with integer coefficients? Explain.