The graph of an ellipse is shown.

which equation represents this ellipse?

a. x²/10 + y²/4 = 1

b. y²/10 + x²/4 = 1

c. x²/25 + y²/4 = 1

d. y²/25 + x²/4 = 1

D. y²/25 + x²/4 = 1

Step-by-step explanation:

Ellipse has a general equation of

We can see that the ellipse is stretched to 5 space in the y-axis. So our b-value is 5 giving us:

Then we also see that the ellipse is stretched 2 space in the x-axis, so our a-value is 2 giving us:

put the two together and we get

(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