Faswhich scale factors produce a expansion under a dilation of the original image? select each correct answer. −0.1 0.1 2 7.5

2 and 7.5

Step-by-step explanation:

In order to produce an expansion, the scale factor must be larger than 1.  This is because 1 times the figure gives us the original figure; in order to give us sides that are larger than the original, we would need to multiply by more than 1.

The only scale factors here that are larger than 1 are 2 and 7.5.

(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