Which term best describes two events in which knowledge of one event has no effect on the probability of the other event? a. independent b. unlikely c. disjoint d. complementary

The correct option is the first one. Independent events are exactly what you're asking for: the information you have on one event doesn't affect in any way the probability of the other.

A classic example is the roll of two dice: assume that you roll the first one and get a 4. Does this imply anything on the outcome of the second die? No, all events 1,2,3,4,5,6 are still equally distributed, no matter the result of the first die.

i dont get it. where are the "descriptions"?

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."