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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_15 / The roots of the polynomial 10x³−39x²+29x−6 are the height, length, and width of a rectangular box (right rectangular prism). A new rectangular box is formed by lengthening each ed…

Problem

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problem

The roots of the polynomial

10x^3 - 39x^2 + 29x - 6

are the height, length, and width of a rectangular box (right rectangular prism). A new rectangular box is formed by lengthening each edge of the original box by

2

units. What is the volume of the new box?

Plain-text mathematical notation (without MathML)

The roots of the polynomial 10x³−39x²+29x−6 are the height, length, and width of a rectangular box (right rectangular prism). A new rectangular box is formed by lengthening each edge of the original box by 2
units. What is the volume of the new box?

Original LaTeX notation

The roots of the polynomial $10x^3 - 39x^2 + 29x - 6$ are the height, length, and width of a rectangular box (right rectangular prism). A new rectangular box is formed by lengthening each edge of the original box by $2$
units. What is the volume of the new box?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2022_AMC_12A_Problems/Problem_15
task_id: 1d26a182-9917-55eb-8c64-bcb2cce28ad3
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2022~5fAMC~5f12A~5fProblems~2fProblem~5f15
task_revision_id: 2
config / split: default / train

Official source

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