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finlep [7]
3 years ago
10

What is the quotient when 2x^3-1 is divided by x - 1?

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

Step-by-step explanation:

Use synthetic division:

The coefficients of 2x^3 - 1 are {2, 0, 0, -1}.  Setting up synthetic division, we get:

1    /    2    0    0    -1

                2     2    2

    ---------------------------

          2     2    2     1

Note that the remainder is 1.  The same result would be obtained through long division.

The quotient is 2x^2 + 2x + 2 with a remainder of 1.  

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Step-by-step explanation:

Please see attached picture for full solution.

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