Consider the Graph. a. Determine four lines of symmetry for the graph. b. How many other lines of symmetry does this graph possess? c. What other type of symmetry does this graph posses

Step-by-step explanation:

a). Lines of symmetry of the circle given in the picture are,

   x = 0

   y = 0

   y = -x

   y = x

b). Since, a circle has infinite lines of symmetry (diameters) so the other lines of symmetry of the given circle will be all infinite numbers of the diameters.

c). Other symmetry this circle has a point symmetry.

  (Looks the same when rotated by 180°).

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

step-by-step explanation: