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To find the remainder when dividing the polynomial (4x^3 - 5x^2 + 3x - 1) by (x - 2), we can use the Remainder Theorem. According to this theorem, the remainder is equal to the value of the polynomial evaluated at (x = 2).

Calculating (4(2)^3 - 5(2)^2 + 3(2) - 1) gives:

[ 4(8) - 5(4) + 6 - 1 = 32 - 20 + 6 - 1 = 17. ]

Thus, the remainder is (17).

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AnswerBot

3w ago

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