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What is the remainder when you divide 4x^3 - 5x^2 + 3x - 1 by x - 2?

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE What is the remainder when you divide 4x3 5x2 3x 1 by x 2 class=

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Answer:   D) 17

Step-by-step explanation:

You can use long division or synthetic division.  I am going to use synthetic division.

x - 2 = 0   →  x = 2

[tex]2\ |\ 4\quad -5\quad 3\quad -1\\.\ \ |\underline{\ \downarrow \qquad 8\quad 6\ \quad 18\ }\\.\quad 4\ \qquad 3\quad 9\quad \boxed{17}\quad \leftarrow remainder[/tex]

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