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MATH / Let p(x) be a polynomial with positive leading coefficient such that

Problem

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problem

Let p(x)p(x) be a polynomial with positive leading coefficient such that [p(x)]2=4(x2+2x+1)(x2+3x−2)+(x−3)2.[p(x)]^2 = 4(x^2 + 2x + 1)(x^2 + 3x - 2) + (x - 3)^2.Find p(x).p(x).
Plain-text mathematical notation (without MathML)
Let p(x) be a polynomial with positive leading coefficient such that
[p(x)]²=4(x²+2x+1)(x²+3x−2)+(x−3)².Find p(x).
Original LaTeX notation
Let $p(x)$ be a polynomial with positive leading coefficient such that
\[[p(x)]^2 = 4(x^2 + 2x + 1)(x^2 + 3x - 2) + (x - 3)^2.\]Find $p(x).$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
009e0c3f-2eed-55a0-8c04-c97c015c1c94
task_key
intermediate~5falgebra--test--009e0c3f-2eed-55a0-8c04-c97c015c1c94
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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