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MATH / Let f(x) be the polynomial f(x)=x⁷−3x³+2.If g(x)=f(x+1), what is the sum of the coefficients of g(x)?

Problem

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

problem

Let

f(x)

be the polynomial

f(x)=x^7-3x^3+2.

g(x) = f(x + 1)

, what is the sum of the coefficients of

g(x)

Plain-text mathematical notation (without MathML)

Let f(x) be the polynomial f(x)=x⁷−3x³+2.If g(x)=f(x+1), what is the sum of the coefficients of g(x)?

Original LaTeX notation

Let $f(x)$ be the polynomial \[f(x)=x^7-3x^3+2.\]If $g(x) = f(x + 1)$, what is the sum of the coefficients of $g(x)$?

level

Level 5

type

Algebra

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task_id: d7dd6892-92f6-556d-8317-0c38b3bd9db5
task_key: algebra--test--d7dd6892-92f6-556d-8317-0c38b3bd9db5
task_revision_id: 2
config / split: algebra / test

Official source

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