Consider the following code segment, which uses the int value a. if ((a > 12) || (a < 4)) system. out. println("new value: " + a/3); else system. out. println("new value: " + 2*a); for which, if any, of the following initial values of a will the statement "new value: 4" be printed when the code is executed?

a = 13 and 14

Step-by-step explanation:

The "/" does ordinary division when applied. So when a = 13 and a = 14, both greater than 12, it found the values 4,33 and 4,66, respectively,  and java itself round it to 4.

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."