Tell whether each expression is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial.

$$-43$$

Write the expression as the square of a binomial.
x$^2$ +$\frac 1 6$x + $\frac 9 4$

Determine whether the given binomial is a factor of the polynomial.

$$(x + 5); P(x) = 2x^{2} - 6x - 1$$

Find whether the given binomial is a factor of the polynomial P(x). (x-2) ; $P(x)=5 x^3+x^2-7$

Classify the expression as a monomial, a binomial, a trinomial, or not a polynomial.

$$4x^3 + 2x^5 + 3$$

Determine whether the linear binomial is a factor of the polynomial.

$$P(x)=x^3-10 x^2+19 x+30 ; x-6$$

In this exercise, state whether the given polynomial below is a monomial, a binomial, or a trinomial..

$$3-x^6$$

Tell whether each polynomial Is a monomial, a binomial, or a trinomial.

$$2 x ^ { 2 } - 1$$

Tell whether each polynomial is a monomial, a binomial, or a trinomial.

$$\frac { 2 } { 3 } x$$

State whether the polynomial is a monomial, a binomial, or a trinomial.

$$7 y ^ { 2 } + 2 y - 9$$

Which binomial is a factor of the polynomial $x^{3}+3 x^{2}-2 x-8 ?$ $x - 2$

For the following problem, expand as a binomial series and simplify.

$$\left(x^2+y^3\right)^6$$

Factor this binomial completely: Use the answers from earlier Exercises as necessary.

$$m^3-8$$

Determine whether the given binomial is a factor of the polynomial P(x).

$$( x - 2 ) ; P ( x ) = 5 x ^ { 3 } + x ^ { 2 } - 7$$