Which equation represents a circle? a. `(x – 2)^2/(2^2) + (y – 3)^2/(3^2) = 1` b. `(x – 4)^2/(3^2) + (y + k)^2/(1^2) = 1` c. `(x^2)/(2^2) + (y^2)/(2^2) = 1` d. `(x^2)/(1^2) + (y^2)/(3^2) = 1`?

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

(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