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MATH / Suppose f(x)=−x²+3x+4 and g(x)=−2x³+9x²−x−12. Every root of f(x) is also a root of g(x). What is the third root of g(x) (that is not a root of f(x))?

Problem

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problem

Suppose f(x)=−x2+3x+4f(x) = -x^2+3x+4 and g(x)=−2x3+9x2−x−12g(x) = -2x^3+9x^2-x-12. Every root of f(x)f(x) is also a root of g(x)g(x). What is the third root of g(x)g(x) (that is not a root of f(x)f(x))?
Plain-text mathematical notation (without MathML)
Suppose f(x)=−x²+3x+4 and g(x)=−2x³+9x²−x−12. Every root of f(x) is also a root of g(x). What is the third root of g(x) (that is not a root of f(x))?
Original LaTeX notation
Suppose $f(x) = -x^2+3x+4$ and $g(x) = -2x^3+9x^2-x-12$. Every root of $f(x)$ is also a root of $g(x)$. What is the third root of $g(x)$ (that is not a root of $f(x)$)?

level

Level 2

type

Intermediate Algebra

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Source and history

task_id
1b8aa270-97f0-57cd-b94c-d535add79b33
task_key
intermediate~5falgebra--test--1b8aa270-97f0-57cd-b94c-d535add79b33
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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