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MATH / What is the product of all constants k such that the quadratic x²+kx+15 can be factored in the form (x+a)(x+b), where a and b are integers?

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problem

What is the product of all constants kk such that the quadratic x2+kx+15x^2 + kx +15 can be factored in the form (x+a)(x+b)(x+a)(x+b), where aa and bb are integers?
Plain-text mathematical notation (without MathML)
What is the product of all constants k such that the quadratic x²+kx+15 can be factored in the form (x+a)(x+b), where a and b are integers?
Original LaTeX notation
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?

level

Level 5

type

Algebra

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Source and history

task_id
7378a234-75ab-5bbf-b8c6-afa51c4e2ce3
task_key
algebra--test--7378a234-75ab-5bbf-b8c6-afa51c4e2ce3
task_revision_id
1
config / split
algebra / test

Official source

initial import