How do you multiply (2x+6)(x-2)?

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.
$g(x)=3-\frac{x^2}{4}$

Solve the system $Ax=b$ using the given LU factorization of A
$A=\left[\begin{array}{ccc}2& -4& 0\\ 3& -1& 4\\ -1& 2& 2\end{array}\right]=\left[\begin{array}{ccc}1& 0& 0\\ \frac{3}{2}& 1& 0\\ -\frac{1}{2}& 0& 1\end{array}\right]\times \left[\begin{array}{ccc}2& -4& 0\\ 0& 5& 4\\ 0& 0& 2\end{array}\right],b=\left[\begin{array}{c}2\\ 0\\ -5\end{array}\right]$

Proof that ${\displaystyle \frac{2}{3}<\log \left(2\right)<\frac{7}{10}}$
Positive integrals
${\displaystyle {\int }_0^1\frac{2x{(1-x)}^2}{1+x^2}dx=\pi -3}$
and
${\displaystyle {\int }_0^1\frac{x^4{(1-x)}^4}{1+x^2}dx=\frac{22}{7}-\pi }$
prove that
${\displaystyle 3<\pi <\frac{22}{7}}$
Is there a similar argument for the following ${\displaystyle \log \left(2\right)}$ inequality?
${\displaystyle \frac{2}{3}<\log \left(2\right)<\frac{7}{10}}$

A reason for the value of ${\displaystyle {\int }_0^1\log \left(x\right)\log (1-x)dx}$

Solve the following equations:
$|x+3|=|2x+1|$

Find the 52nd term of the arithmetic sequence -24,-7, 10

x^2-52