The degree of the polynomial (x² + 1)³ (x − 2)² is:

8. Degrees add when polynomials are multiplied: (x² + 1)³ has degree 2 × 3 = 6 and (x − 2)² has degree 2. Total degree = 6 + 2 = 8.

The degree of the polynomial $(x^{2} + 1)^{3} (x - 2)^{2}$ is:

Competition practiceAlgebra

Degrees add when polynomials are multiplied:

(x^{2} + 1)^{3}

has degree

2 \times 3 = 6

and

(x - 2)^{2}

has degree 2. Total degree = 6 + 2 = 8.

Answer: A) 8

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