Colton is making a large batch of clay for his art class. his recipe for clay requires 7 1/2 cups of flour. however, colton only has 5 5/8 cups of the flour, so he can only make a portion of the recipe. create an equation to model the situation and solve it to determine what portion of his recipe colton can make. =

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."

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol