Use synthetic division to divide x4 – x3 + x2 – 8x + 3 by x – 2. A. x3 – 3x2 – 5x + 2 – 1x−2 B. x3 + x2 + 3x – 2 – 1x−2 C. x3 – 3x2 – 3x – 14 – 25x−2 D. x3 + x2 + 3x + 2 – 1x−2

x5 - x4 + x3 - 8x2 - 2x + 3

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              x            

Step-by-step explanation:

Polynomial Roots Calculator :

4.5    Find roots (zeroes) of :       F(x) = x5 - x4 + x3 - 8x2 - 2x + 3

    See theory in step 3.4

In this case, the Leading Coefficient is  1  and the Trailing Constant is  3.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,3

Let us test

 P    Q    P/Q    F(P/Q)    Divisor

     -1       1        -1.00        -6.00    

     -3       1        -3.00        -414.00    

     1       1        1.00        -6.00    

     3       1        3.00        114.00    

Polynomial Roots Calculator found no rational roots

Final result :

 x5 - x4 + x3 - 8x2 - 2x + 3

 ———————————————————————————

              x            

Processing ends successfully

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pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0