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MATH / There exist constants c₂, c₁, and c₀ such that

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

There exist constants c2,c_2, c1,c_1, and c0c_0 such that x3+x2−5=(x−3)3+c2(x−3)2+c1(x−3)+c0.x^3 + x^2 - 5 = (x - 3)^3 + c_2 (x - 3)^2 + c_1 (x - 3) + c_0.Find c22+c12+c02.c_2^2 + c_1^2 + c_0^2.
Plain-text mathematical notation (without MathML)
There exist constants c₂, c₁, and c₀ such that
x³+x²−5=(x−3)³+c₂(x−3)²+c₁(x−3)+c₀.Find c₂²+c₁²+c₀².
Original LaTeX notation
There exist constants $c_2,$ $c_1,$ and $c_0$ such that
\[x^3 + x^2 - 5 = (x - 3)^3 + c_2 (x - 3)^2 + c_1 (x - 3) + c_0.\]Find $c_2^2 + c_1^2 + c_0^2.$

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
f15e3178-6e23-5ac6-8b16-54b102bf88d4
task_key
intermediate~5falgebra--test--f15e3178-6e23-5ac6-8b16-54b102bf88d4
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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