SAT Math Practice Question #27627 - SATify | SATify
#27627
algebra
polynomials
hard
120 sec
A polynomial P(x)=c2022x2022+c2021x2021+…+c1x+c0 has real coefficients with c2022=0 and 2022 distinct complex zeroes zk=ak+bki, 1≤k≤2022 with ak and bk real. Given that a1=b1=0, and ∑k=12022ak=∑k=12022bk. Which of the following quantities can be a nonzero number?