What is the quotient of open paren 2 x to the 4th power minus 3 x cubed minus 3 x squared plus 7 x minus 3 close paren divided by open paren x squared minus 2 x plus 1 close paren ?

Since x² − 2x + 1 = (x − 1)², divide the numerator by x − 1 twice. Synthetic division gives the quotient 2x² + x − 3 with remainder 0, so the quotient is 2x² + x − 3, choice A.

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