Find the zeroes of the polynomial by factorization method 3x^2+4x-4

Determine whether the following function is a polynomial function. If the function is a polynomial​ function, state its degree. If it is​ not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term.
$g(x)=3-\frac{x^2}{4}$

How can I prove that ${\displaystyle x-\frac{x^2}{2}<\ln (1+x)}$

Compute all the points of discontinuity if $\frac{n^2-17n+72}{(n^2-10n+25)(n^2+6n+5)}$.

Asymptotics of logarithms of functions
If I know that $\underset{x\to \mathrm{\infty }}{lim}{\displaystyle \frac{f(x)}{g(x)}}=1$, does it follow that $\underset{x\to \mathrm{\infty }}{lim}{\displaystyle \frac{\log f(x)}{\log g(x)}}=1$ as well? I see that this definitely doesn't hold for ${\displaystyle \frac{e^{f(x)}}{e^{g(x)}}}$ (take $f(x)=x+1$ and $g(x)=x$), but I'm not sure how to handle the other direction.

Find a relationship between x and y such that (x, y) is equidistant (the same distance) from the two points. (-1/2, -4), (7/2, 5/4)

logarithm of a sum or addition
I search a general rule for calculating the logarithm of a sum or addition. I know that
${\displaystyle \ln (a+b)=\ln \left(a(1+\frac{b}{a})\right)=\ln \left(a\right)+\ln (1+\frac{b}{a})}$
but when the sum implies more terms, how to generalize its calculation/computation? For example when
${\displaystyle \ln (a+b+c)}$
or when
${\displaystyle \ln \left(\sum _i{a}_i\right)}$
like when we have to compute the denominator of a Bayes formula using log-likelihoods? Thanks for your incoming help.

How do you find the GCF of 14ab, 7a?