(3sqrt{-{frac{1}{8}}}^3+3(frac{3}{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.
$g(x)=3-\frac{x^2}{4}$

Consider the following polynomials over ${\displaystyle Z_8}$ where a is written for [a] in ${\displaystyle Z_8}$:-
${\displaystyle f\left(x\right)=2x^3+7x+4,g\left(x\right)=4x^2+4x+6,h\left(x\right)=6x^2+3}$.
Find each of the following polynomials with all coefficients in ${\displaystyle Z_8}$,
f(x)g(x)+h(x)

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
${\displaystyle 8x^5+24x^4+18x^3}$

Factor the terms in each set, then identify the greatest common factor.
a) $6,15n$
b) $4m,m^2$

Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form.
(x+3y)(x-3y)

How do you simplify ${\displaystyle (x+2)(2x^2+3)}$?

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
${\displaystyle 24a^4+10a^{3}b-4a^2{b}^2}$