Write the ratio of 4 teachers to 134 students in simplest form.?

divide 134/4 = 33.5 that would be 1/33.5

since you can't have .5 student, multiply each side by 2

33.5*2 = 67

 so 2/67 would be the simplest form using whole numbers

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."