Question 1

5. (10pts ea) Solve and Check each equation: a. log, (x + 2) +log, (x -5) =1 b. 2x =1-V2-x6. (20pts) For P(x)= 6x4 -18x3 +6x" -30x+36 a. Use Descartes's Rule of Signs to determine the number of possible real zeros of the polynomial b. Use the Rational Zeros Theorem to list all the possible rational zeros of P(x) . 0. Use Synthetic Division to nd all the zeros of P(x) and their multiplicities. (1. Factor P(x) completely into linear factors