Let the equation:
2(exponent 3t) - 5 * 2(exponent 2t) + 2 * 2(exponent t) + 8 = 0
1) Verify that t = 2 is the solution to equation.
2) Consider p(x) = x^3 - 5x^2 + 2x + 8 = 0 What part (a) tells about factors of p(x)?
3) Determine all solutions to 2^3t - 5 * 2^2t + 2 * 2^t + 8 = 0.