Question

What is a second degree polynomial?

Answer 1

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)