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MATH / The graph of y=f(x), where f(x) is a polynomial of degree 3, contains points A(2,4), B(3,9), and C(4,16). Lines AB, AC, and BC intersect the graph again at points D, E, and F, resp…

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problem

The graph of y=f(x)y=f(x), where f(x)f(x) is a polynomial of degree 33, contains points A(2,4)A(2,4), B(3,9)B(3,9), and C(4,16)C(4,16). Lines ABAB, ACAC, and BCBC intersect the graph again at points DD, EE, and FF, respectively, and the sum of the xx-coordinates of DD, EE, and FF is 24. What is f(0)f(0)?
Plain-text mathematical notation (without MathML)
The graph of y=f(x), where f(x) is a polynomial of degree 3, contains points A(2,4), B(3,9), and C(4,16). Lines AB, AC, and BC intersect the graph again at points D, E, and F, respectively, and the sum of the x-coordinates of D, E, and F is 24. What is f(0)?
Original LaTeX notation
The graph of $y=f(x)$, where $f(x)$ is a polynomial of degree $3$, contains points $A(2,4)$, $B(3,9)$, and $C(4,16)$. Lines $AB$, $AC$, and $BC$ intersect the graph again at points $D$, $E$, and $F$, respectively, and the sum of the $x$-coordinates of $D$, $E$, and $F$ is 24. What is $f(0)$?

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
de901350-97aa-52c4-aa8f-65b2f3cc6b31
task_key
intermediate~5falgebra--test--de901350-97aa-52c4-aa8f-65b2f3cc6b31
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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