polynomials (1 Viewer)

[Jaydels]

I was just wondering if anyone can please tell me what an "even monic polynomial" is (i know what monic means, but I'm not sure what they mean by even).
Thanks

 

[redruM]

axis of symmetry is the y-axis?

 

[Trefoil]

P(x) is even if:
P(-x)=P(x)

 

[Jaydels]

P(x) is even if:
P(-x)=P(x)

omg how stupid of me
thanks heaps

 

[wogboy]

p(x) is an even monic polynomial, if it's monic (the coefficient of the highest power of x is 1) and even (p(x) only contains even powers of x, or equivalently p(x) = p(-x))

e.g. x^6 + 3x^2 + 1 is an even monic polynomial.
3x^4 + x^2 is even, but not monic.
x^3 + 5x^2 + 2 is monic, but not even.
5x^5 + x^3 + 3x^2 is neither monic nor even.

 

[Affinity]

EDITED :It's any polynomial with all terms with even powers and the leading coefficient (the coefficient of the highest power of x is even) sorry.. shoudl be 1. I am losted

 

[wogboy]

the coefficient of the highest power of x is even

http://mathworld.wolfram.com/MonicPolynomial.html

 

[Slidey]

Jaydel asks a question. Redrum and Trefoil answer that question. Wogboy answers a question that wasn't asked. Affinity corrects Wogboy with a correct but complex explantion even though wogboy wasn't incorrect, wogboy then corrects Affinity even the affinity wasn't incorrect.

Nice work guys.

 

[redruM]

rofl! hehe

 

[Jaydels]

lol thanks guys