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Katarina [22]
3 years ago
11

1. Divide 6x^4 + 2x^3 – 6x^2 – 14x – 1 by 3x + 1 by using synthetic division or long division. Show all

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
                  2x^3 - 2x - 4

3x + 1        6x^4 + 2x^3 - 6x^2 - 14x - 1
                  6x^4 + 2x^3
                
                                       -6x^2 - 14x - 1
                                       -6x^2 - 2x
     
                                                 -12x - 1
                                                 -12x - 4
 
                                                           3

3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.
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Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

y_{2} =5\\y_{1} =-3\\x_{2} =6\\x_{1} =-2

^^^Plug these numbers into the formula for slope...

\frac{5-(-3)}{6 - (-2)}

\frac{8}{8}

1

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Hope this helped!

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