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sergey [27]
4 years ago
8

how many pieces of string that are 2/7 of an inch long can be cut from a piece of string that are 7/8 of an inch long

Mathematics
1 answer:
Nimfa-mama [501]4 years ago
6 0

namely, how many times does 2/7 go into 7/8?

\bf \cfrac{7}{8}\div\cfrac{2}{7}\implies \cfrac{7}{8}\cdot \cfrac{7}{2}\implies \cfrac{49}{16}\implies 3\frac{1}{16}\impliedby \textit{3 whole times}

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Divide using polynomial long division.<br> (2x3 – 16x² + 37x – 26) = (x - 5)
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the solution to the given synthetic division will be expressed as (2x^2 - 6x + 7) + \frac{9}{x-5}

<h3>Synthetic division of a polynomial</h3>

According to the given question, we are to divide (2x³ – 16x² + 37x – 26)  by (x - 5)

         2x^2 - 6x + 7

x - 5 | 2x³– 16x² + 37x – 26

          2x³ - 10x²

     __________

                 -6x² +37x

                 -6x² +30x

             _______________

                             7x   - 26

                             7x   - 35
                         ______________

                                       9 - Remainder

Hence the solution to the given synthetic division will be expressed as:

 P(x) = Q(x) +  \frac{R(x)}{D(x)} \\(2x^3  -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}

Learn more on synthetic division here: brainly.com/question/24662212

3 0
2 years ago
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