Roots of Polynomial by Induction
42916
Find the number of real roots of $1+x/1!+x^2/2!+x^3/3! + \ldots + x^6/6! =0$.
111569
Property of a polynomial with no positive real roots
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
76696
Using induction to prove $2^{n-1}(1 + a_1a_2\ldots a_n) \geq (1+a_1)(1+a_2)\ldots(1+a_n)$ for $a_i \geq 1$
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
104349
Proof by induction involving symmetric groups
115435
Induction: prove using congruences
13291
Proving $\sum_{k=1}^n\frac1{\sqrt k}<2\sqrt n$ by induction
157487
Showing a polynomial having at least one integer root under certain conditions has precisely one integer root
106011
Proving it has all real roots
135807
I'm having trouble with a proof by induction
120093
Proof of inequality $2(\sqrt{n+1}-\sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n} - \sqrt{n-1})$ using induction
143321
Number of roots of a polynomial over a finite field
155897
Proof by induction - is this correct?
132410
Difficult Polynomial Question
137012
Mathematical Induction for Recurrence Relation
138857
Proving an inequality by induction, how to figure out intermediate inductive steps?