polynomial

VITEEE Discussion Forum › Algebra questions › polynomial

p(x) is a polynomial with integer coefficients. For some positive integer c, none of p(1), p(2), ... , p(c) are divisible by c. Prove that p(b) is not zero for any integer b.

(bhatt sir stay away)

#Mathematics #Algebra

UP 0 DOWN 0 0 4
Post on FacebookPost anonymously?

4 Answers

Lokesh Verma ·2009-09-23 09:06:38

isnt this a Putnam?

and again am i allowed :P

UP 0 DOWN 0
Post on FacebookPost anonymously?

eureka123 ·2009-09-23 11:31:32

yeah its a putnam[6]..just searched my books...
SO i wont be posting the soln and spoiling it up

btw its really very very old problem....even before India's Independence[3][3]

UP 0 DOWN 0
Post on FacebookPost anonymously?

$ourav @@@ -- WILL Never give ·2009-09-23 13:00:04

plz give hints........

UP 0 DOWN 0
Post on FacebookPost anonymously?

Dr.House ·2009-09-24 07:38:44

sonone ready to hit it???

that is bad i see

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ 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

Close [X]

polynomial

4 Answers

Your Answer

Add Image

Similar Questions