This problem has two parts, part a and part b.

part a: use the remainder theorem to find the remainder when p(x)=3x3+3x2−21x−9 is divided by 3x−9.

part b: is 3x−9 a factor of p(x)=3x3+3x2−21x−9?

a options
(a) the remainder is 0
(b) the remainder is 36
(c) the remainder is -16/9
b options
(a) no, 3x−9 is not a factor of p(x)
(b) yes, 3x-9 is a factor of p(x)

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

Are triangles the congruent? write the congruency statement. what is the congruency that proves they are congruent? what is the perimeter of ∆pqr?

Reduce fractions expressing probability to lowest terms. in 3,000 repetitions of an experiment, a random event occurred in 500 cases. the expected probability of this event is?