In 2014, the three largest economies in the world were (listed in order, from largest): a) the u. s., china, germany. b) the u. s., china, japan. c) china, the u. s., japan. d) china, the u. s., germany.

B) the u.s., china, japan

Step-by-step explanation:

With economy of around $17.4 trillion, United States holds a 22.53 percent share of global GDP in nominal terms. GDP of United states is $7039 billion more than second ranked China.

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."