Consider the polynomial p(x)=x3−9x2+18x−25, which can be rewritten as p(x)=(x−7)(x2−2x+4)+3. The number _[blank 1]_ is the remainder when p(x) is divided by x−7, and so x−7 _[blank 2]_ a factor of p(x).

Match the letters that appear in the blanks of the above sentences with the term that correctly fills in each blank.
is not
is
3
7
0

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)