looks interesting

i am not sure wether u can say as to it is in jee syllabus or not

but kindly post your thoughts and methods so that we can have a good discussion

find all polynomials f satisfying f(x)f(-x)=f(x^{2})

6 Answers

1-x???

(1-x)(1-(-x))
(1-x)(1+x)
1-x²

good work. but is this the only function ? think .......

|x|??
|x||-x|
for x>0 and x<0
x²=|x²|

u r missing points dude, first can u tell me how r u getting these functions?

if its by any method , then show the method ,

if its by guessing u know that u may miss some functions then

im obviously guessing

then u know u are missing some functions...........

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω