do the following questions

1)Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. n =3,4and4i ARE ZEROS, f(1)=102

2) Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. log left parenthesis x plus 12 right parenthesis minus log 2 equals log left parenthesis 3 x plus 2 right parenthesis

log(x+12)log2=log(3x+2)

3)Prehistoric cave paintings were discovered in a cave in France. The paint contained 24% of the original carbon-14. Use the exponential decay model for carbon-14, Upper A equals Upper A 0 e Superscript negative 0.000121 t

A=A0e0.000121t, to estimate the age of the paintings.