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How many different integer solutions exist for $p(x)=23$

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#algebra-precalculus #elementary-number-theory #polynomials
55
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Find exact value of $P(1/2)$ given sum of pair of roots

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#polynomials
5.2k
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What is monomial basis for polynomial?

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#polynomials #vector-spaces #change-of-basis
320
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If $(x-r)$ is a repeating factor of the polynomial $f(x)=0$ repeating $m$ times, how many times does it repeat for $f'(x)$?

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#ordinary-differential-equations #derivatives #polynomials #common-root
104
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Proof of a Symmetric-Like Expression

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#abstract-algebra #polynomials #symmetric-polynomials
65
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$P(z) = z^3 − 6z^2 + (21 + 4i)z − 80 − ki$

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#algebra-precalculus #polynomials #complex-numbers
139
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Issue in the solution of general cubic equation.

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#polynomials
40
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Why do we multiply x - intercepts when creating polynomial equations?

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#algebra-precalculus #logic #polynomials
1k
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$J_n(x)=0$ has no repeated root except zero. How to prove it?

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#polynomials #roots #bessel-functions
78
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Prooving not all roots are real

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#inequality #polynomials #roots
104
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How do I solve the inequality $x^{12}−x^9+x^4−x+1>0$ using intervals?

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#algebra-precalculus #inequality #polynomials
89
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$f(x)=x+(1-x)x^2+(1-x)(1-x^2)x^3+....(1-x)(1-x^2)....(1-x^{n-1})x^n, (n \ge 4)$

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#calculus #derivatives #polynomials
95
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Complex polynomial roots within the unit circle

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#polynomials #complex-numbers #roots
2.4k
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Showing Bernstein polynomial is a basis

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#linear-algebra #polynomials #hamel-basis
168
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Why can FFT (NTT?) work well on polynomial ring with some integer coefficient modulus?

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#number-theory #polynomials #fast-fourier-transform

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