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JonHenderson55
The answer is:  [C]:  "quintic" .
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Note:  The prefix "quint-"  is ONE of the prefixes (other than "pent-") that means "5" ; and considering:  "3x⁵ "  ;  we consider the "largest exponent value corresponding to a variable"— which, in the question, is "5" — as the "degree of the polynomial" .
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Consider:  "Choice:  [A]:  "cubic".  This answer is incorrect.
This choice would be correct IF the polynomial was:  " 3x³ " .
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Consider:  "Choice:  [B]:  "quadratic" ;  is incorrect.  
  This would refer to an equation, in "quadratic form" ; that is:  
              " ax² + bx + c = 0 ;  { b[tex] \neq [/tex]0 } . " .
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Consider:  "Choice:  [D]:  "quartic" ; is incorrect.  This would refer to:  " 3x⁴ " .
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The degree of the given polynomial [tex]3x^5[/tex] is quintic that is 5 and this can be determined by comparing the given polynomial with the generalized quintic equation.

Given :

Polynomial  --  [tex]3x^5[/tex]

The following points should be remembered in order to determine the degree of any polynomial:

  • The generalized quadratic equation is represented by: [tex]ax^2 + bx + c =0[/tex]

  • The generalized cubic equation is represented by: [tex]ax^3 + bx^2 + cx + d =0[/tex]

  • The generalized quartic equation is represented by: [tex]ax^4 + bx^3 + cx^2 + dx+e =0[/tex]

  • The generalized quintic equation is represented by: [tex]ax^5 + bx^4 + cx^3 + dx^2+ex + f =0[/tex]

So, from the above points, it can be concluded that the degree of the given polynomial [tex]3x^5[/tex] is quintic that is 5. Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/2925460

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