College

Select the correct answer.

Which expression is a prime polynomial?

A. [tex]3x^2 + 18y[/tex]
B. [tex]x^3 - 27y^6[/tex]
C. [tex]10x^4 - 5x^3 + 70x^2 + 3x[/tex]
D. [tex]x^4 + 20x^2 - 100[/tex]

Answer :

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Guide for you to follow}\\\bullet\large\text{ Monomial is an algebraic expression with ONE TERM.}\\\bullet\large\text{ Binomial is an algebraic expression with TWO TERMS.}\\\bullet\large\text{ Trinomial is an algebraic expression with THREE TERMS.}\\\bullet\large\text{ Polynomial algebraic expression with MULTIPLE TERMS.}\\\large\text{\ - Polynomials can either be added, subtracted, or even multiplied}\\\large\text{together.}[/tex]

[tex]\huge\text{Here are some EXAMPLES of them: }\\\star\large\texttt{ Monomial }\mathtt{\rightarrow 3x^2}\\\star\large\texttt{ Binomial}\mathtt{\rightarrow 6x + 9}\\\star\large\texttt{ Trinomial }\mathtt{\rightarrow 12x - 15y + 18z}\\\star\large\texttt{ Polynomial}\mathtt{\rightarrow 21x^2 +24y - 27}[/tex]

[tex]\huge\text{Now, that we have that information out}\\\huge\text{the way, we made the answer easier to }\\\huge\text{find.}[/tex]

[tex]\huge\text{Thus, this leaves \boxed{\mathtt{Option\ B. \ x^3 - 27y^6}}}\huge\checkmark\\\huge\text{as your answer to this given question.}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]