Hoa wants to factor the polynomial P(x)=x5−5x4−23x3+55x2+226x+154. She finds three roots of P(x), −1, 2−32–√, and 1+23–√.

Complete Hoa’s work:

Part A: What are the remaining two roots of P(x)?

Part B: Which equation correctly represents the fully factored form of P(x)?

Select two answers for Part A, and one answer for Part B.

B: p(x)=(x+1)(x−1−23–√)(x−1+23–√)(x−2− 32–√)(x−2+32–√)
A: 1
B: p(x)=(x+1)(x−1−23–√)(x−32–√+1)(x−2+ 32–√)
A: 32–√−1
B: p(x)=(x+1)(x−1)(x−1−23–√)(x−2+32–√)
A: 1−23–√
A: 2+32–√
B: p(x)=(x−1)(x−1−23–√)(x−1+23–√)(x−2− 32–√)(x−2+32–√)