- Ak = 0 works, since the zeroes are then 0 and −5
- BNo value of k works, because such zeroes would have to add to 0, but the sum here is −5
- Ck = −25 works, since the zeroes are then 5 and −5
- DEvery negative value of k works
Step-by-Step Solution
Zeroes p and −p add to 0, so the requirement is . But here whatever is, because never touches the coefficient of — so no value of can work. gives the zeroes 0 and −5, which are not negatives of each other; gives , whose zeroes are , not 5 and −5 (that would need the -term to vanish, as in ).
Answer: B) No value of k works, because such zeroes would have to add to 0, but the sum here is −5