Divide (2x^4++5x^3+x-1) by (x^2-2x+1) using polynomial long division

, and . Subtract this from the dividend to get a remainder of

, and . Subtracting this from the previous remainder gives a new remainder,

, and . Subtract this from the previous remainder to get

does not divide , and we've found, one step at a time, that

Another way to do is involves noticing the denominator is

so you can instead carry out two rounds of long division, dividing by both times.

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step-by-step explanation: