What is a second degree polynomial?

Lilia Mccarthy

Lilia Mccarthy

Answered question

2023-03-17

What is a second degree polynomial?

Answer & Explanation

nelagodafsed

nelagodafsed

Beginner2023-03-18Added 8 answers

The highest power of an unknown with a nonzero coefficient determines a polynomial's degree, so any function with the form:
P ( x ) = a x 2 + b x + c for any a - { 0 } ; b , c
Examples
P 1 ( x ) = 2 x 2 - 3 x + 7 - this is a second degree polynomial
P 2 ( x ) = 3 x + 7 - this is not a second degree polynomial (there is no x 2 )
P 3 ( x ) = x 2 - 1 - this is a second degree polynomial ( b or c can be zero)
P 4 ( x ) = x 2 - 1 x - this is not a polynomial ( x is not allowed in the denominator)

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