If there is 1/3 of a pizza left, and becky only wants to eat 1/2 of it, how much pizza does she want

The amount of pizza she wants is:

                        of the pizza.

If there is 1/3 of a pizza left, and Becky only wants to eat 1/2 of it.

Then the amount of pizza she wants is:

          1/2 of the amount of the pizza left.

i.e. she wants:

This means that Becky wants 1/6 parts of the whole pizza.

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."