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MATH / How many polynomials of the form x²+mx+n are there with positive integer roots and n = 28?

Problem

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problem

How many polynomials of the form x2+mx+nx^2 + mx + n are there with positive integer roots and $n = 28?$
Plain-text mathematical notation (without MathML)
How many polynomials of the form x²+mx+n are there with positive integer roots and $n = 28?$
Original LaTeX notation
How many polynomials of the form $x^2 + mx + n$ are there with positive integer roots and $n = 28?$

level

Level 4

type

Algebra

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Source and history

task_id
0623f175-206f-5b40-af40-61e7721cb848
task_key
algebra--test--0623f175-206f-5b40-af40-61e7721cb848
task_revision_id
1
config / split
algebra / test

Official source

initial import