If f(x) = x^6 - 5x^4- 10x^2 + k, find the value of k for which x - 1 is a factor of f(x).
When k has a value, find another factor of f(x) of the form x + a,
where a is a constant?

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.