Proof writing for polynomials
115284
For $5$ distinct integers $a_i$, $1\le i\le5$, $f(a_i)=2$. Find an integer b (if it exists) such that f(b) = $9$.
34861
Expressing a symmetric polynomial in terms of elementary symmetric polynomials using computer?
103932
How can I prove that a polynomial with degree $n$ is continuous everywhere in $\mathbb{R}$ using definitions?
81682
Proving the algebraic set corresponding to a polynomial is infinite.
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
155575
Proving a polynomial $f(x)$ composite for infinitely many $x$
127304
Understanding the algebra of polynomials on a linear space
153432
Question on the proof of the spectral mapping theorem for polynomials
108698
proof using the mathematical induction
156034
sufficient condition for a polynomial to have roots in $[0,1]$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
63321
Polynomials and partitions
74523
Proof by Cases involving divisibility
117743
Remainder of the polynomial
15914
Prove that any polynomial function is continuous
141496
Could someone make the proof into a hinted exercise?
91388
Prove that $f$ is a polynomial if one of the coefficients in its Taylor expansion is 0