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Omni-MATH / Let f(x)=x⁴+ax³+bx²+cx+d be a polynomial whose roots are all negative integers. If a+b+c+d=2009, find d.

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problem

Let f(x)=x4+ax3+bx2+cx+df(x)=x^{4}+a x^{3}+b x^{2}+c x+d be a polynomial whose roots are all negative integers. If a+b+c+d=2009a+b+c+d=2009, find dd.
Plain-text mathematical notation (without MathML)
Let f(x)=x⁴+ax³+bx²+cx+d be a polynomial whose roots are all negative integers. If a+b+c+d=2009, find d.
Original LaTeX notation
Let $f(x)=x^{4}+a x^{3}+b x^{2}+c x+d$ be a polynomial whose roots are all negative integers. If $a+b+c+d=2009$, find $d$.

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Source and history

task_id
49155da4-5d6a-5cd9-8761-04999a5e19ee
task_key
test--49155da4-5d6a-5cd9-8761-04999a5e19ee
task_revision_id
1
config / split
/ test

Official source

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