What is a second degree polynomial?

1 Answer
Oct 28, 2015

A second degree polynomial is a polynomial #P(x)=ax^2+bx+c#, where #a!=0#

Explanation:

A degree of a polynomial is the highest power of the unknown with nonzero coefficient, so the second degree polynomial is any function in form of:

#P(x)=ax^2+bx+c# for any #a in RR-{0};b,c in RR#

Examples

#P_1(x)=2x^2-3x+7# - this is a second degree polynomial

#P_2(x)=3x+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)