The number of students enrolled at a college is 15,000 and grows 4% each year. the percentage rate of change is 4%, so the growth factor b is

The growth factor b is 1.04

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

where

y ---> is the number of students enrolled at a college

x ----> the number of years

a is the initial value or y-intercept

b is the growth factor

b=(1+r)

r is the rate of change

we have

therefore

The exponential function is equal to

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."