In which category does 1/3 belongs a. real, irrational, integer b. rational c. real, rational d. irrational

C. Real, Rational

A REAL number is any number that can be represented on a number line.

A RATIONAL number is any number that can be written as a fraction

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."

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.