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Omni-MATH / Let p(x) and q(x) be two cubic polynomials such that p(0)=−24,q(0)=30, and p(q(x))=q(p(x)) for all real numbers x. Find the ordered pair (p(3),q(6)).

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problem

Let p(x)p(x) and q(x)q(x) be two cubic polynomials such that p(0)=−24,q(0)=30p(0)=-24, q(0)=30, and p(q(x))=q(p(x))p(q(x))=q(p(x)) for all real numbers xx. Find the ordered pair (p(3),q(6))(p(3), q(6)).
Plain-text mathematical notation (without MathML)
Let p(x) and q(x) be two cubic polynomials such that p(0)=−24,q(0)=30, and p(q(x))=q(p(x)) for all real numbers x. Find the ordered pair (p(3),q(6)).
Original LaTeX notation
Let $p(x)$ and $q(x)$ be two cubic polynomials such that $p(0)=-24, q(0)=30$, and $p(q(x))=q(p(x))$ for all real numbers $x$. Find the ordered pair $(p(3), q(6))$.

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Source and history

task_id
87490e66-c2cb-5988-8bc0-2590139c6547
task_key
test--87490e66-c2cb-5988-8bc0-2590139c6547
task_revision_id
1
config / split
/ test

Official source

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