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MATH / Find q(x) if the graph of (4x−x³)/(q(x)) has a hole at x=−2, a vertical asymptote at x=1, no horizontal asymptote, and q(3)=−30.

Problem

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problem

Find q(x)q(x) if the graph of 4x−x3q(x)\frac{4x-x^3}{q(x)} has a hole at x=−2x=-2, a vertical asymptote at x=1x=1, no horizontal asymptote, and q(3)=−30q(3) = -30.
Plain-text mathematical notation (without MathML)
Find q(x) if the graph of (4x−x³)/(q(x)) has a hole at x=−2, a vertical asymptote at x=1, no horizontal asymptote, and q(3)=−30.
Original LaTeX notation
Find $q(x)$ if the graph of $\frac{4x-x^3}{q(x)}$ has a hole at $x=-2$, a vertical asymptote at $x=1$, no horizontal asymptote, and $q(3) = -30$.

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
8cf19d3e-d9f6-53d7-8a8d-d86f5f118472
task_key
intermediate~5falgebra--test--8cf19d3e-d9f6-53d7-8a8d-d86f5f118472
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import