A polynomial function g(x) with integer coefficients has a leading coefficient of 15 and a constant term of 3. According to the Rational Root Theorem, which of the following are possible roots of g(x)? a. 1/3
b. -15
c. -5
d. 5

9514 1404 393

  a. 1/3

Step-by-step explanation:

The rational root theorem tells you possible rational roots will be of the form ...

  ±(factor of 3)/(factor of 15)

Which will be any of ±{1,3}/{1,3,5,15} = {±1/15, ±1/5, ±1/3, ±3/5, ±1, ±3}.

Of these, 1/3 is one of the available choices.

replace   with   27   and simplify.

10 , 27 , 10 , 70 , 10 , 35 , 10 , 48

step-by-step explanation:

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.