Let Q(z) and R(z) be the unique polynomials such that z2021 +1= (z² + z + 1)Q(z)+ R(z) and the degree of R is less than 2. What is R(z) ? (А) —2 (В) —1 (C) 2021 (D) z + 1 (E) 2z + 1


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Let Q(z) and R(z) be the unique polynomials such that<br>z2021<br>+1= (z² + z + 1)Q(z)+ R(z)<br>and the degree of R is less than 2. What is R(z) ?<br>(А) —2<br>(В) —1<br>(C) 2021<br>(D) z + 1<br>(E) 2z + 1<br>

Extracted text: Let Q(z) and R(z) be the unique polynomials such that z2021 +1= (z² + z + 1)Q(z)+ R(z) and the degree of R is less than 2. What is R(z) ? (А) —2 (В) —1 (C) 2021 (D) z + 1 (E) 2z + 1

Jun 05, 2022
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