Q:

Classify the polynomial 3x^5 by degree A: cubicB:quadratic C:quinticD:quartic

Accepted Solution

A:
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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