benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Let

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Let x8+98x4+1=p(x)q(x),x^8 + 98x^4 + 1 = p(x) q(x),where p(x)p(x) and q(x)q(x) are monic, non-constant polynomials with integer coefficients. Find p(1)+q(1).p(1) + q(1).
Plain-text mathematical notation (without MathML)
Let
x⁸+98x⁴+1=p(x)q(x),where p(x) and q(x) are monic, non-constant polynomials with integer coefficients.  Find p(1)+q(1).
Original LaTeX notation
Let
\[x^8 + 98x^4 + 1 = p(x) q(x),\]where $p(x)$ and $q(x)$ are monic, non-constant polynomials with integer coefficients.  Find $p(1) + q(1).$

level

Level 5

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
76438b22-75af-52de-b719-aa9cfe4c34a2
task_key
intermediate~5falgebra--test--76438b22-75af-52de-b719-aa9cfe4c34a2
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import