In the figure above, rectangle R'S'T'Q' is a dilation of rectangle RSTQ. What is the scale factor of the dilation?

A.

Step-by-step explanation:

The scale factor of dilation is the ratio of the length of any of the corresponding sides of rectangle R'S'T'Q to rectangle PQRS.

R'S' = 3

RS = 15

Thus,

Scale factor =

Simplify

Scale factor =

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."