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anyanavicka [17]
3 years ago
6

Write a polynomial function of least degree with integral coefficients that has the given zeros. -4, 1, 5

Mathematics
1 answer:
exis [7]3 years ago
3 0
\bf \begin{cases}
x=-4\implies &x+4=0\\
x=1\implies &x-1=0\\
x=5\implies &x-5=0
\end{cases}
\\\\\\
(x+4)(x-1)(x-5)=\stackrel{original~polynomial}{0}
\\\\\\
(x^2+3x-4)(x-5)=y\implies x^3+3x^2-4x-5x^2-15x+20=y
\\\\\\
x^3-2x^2-19x+20=y
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