The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

Multiply the proposed quotient by the divisor to check it: (x² + x − 3)(x² − x + 1) = x⁴ − 3x² + 4x − 3. This matches the dividend exactly, so the quotient is x² − x + 1, choice B.

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