- #1
RChristenk
- 67
- 9
- Homework Statement
- Why is ##h(x)=|x|## not a polynomial?
- Relevant Equations
- Definition of polynomial
According to this textbook: https://www.stitz-zeager.com/szprecalculus07042013.pdf
On Page ##236## it says:
But I can certainly write a combination of powers inside the absolute value: ##|x+1|, |x^2+x+1|##...etc.
In fact I can put the definition of a polynomial inside the absolute value: ##h(x)=|a_nx^n+a_{n-1}x^{n-1}+...a_2x^2+a_1x+a_0|##, then isn't ##h(x)## the absolute value written as a combination of powers?
On Page ##236## it says:
But I can certainly write a combination of powers inside the absolute value: ##|x+1|, |x^2+x+1|##...etc.
In fact I can put the definition of a polynomial inside the absolute value: ##h(x)=|a_nx^n+a_{n-1}x^{n-1}+...a_2x^2+a_1x+a_0|##, then isn't ##h(x)## the absolute value written as a combination of powers?