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Naya [18.7K]
4 years ago
13

What is the polynomial function of lowest degree with leading coefficient of 1 and roots mc024-1.jpg, –4, and 4? (image is √3)

Mathematics
1 answer:
Nookie1986 [14]4 years ago
7 0
\bf \begin{cases}
x=\sqrt{3}\implies &x-\sqrt{3}=0\\
x=-4\implies &x+4=0\\
x=4\implies &x-4=0
\end{cases}
\\\\\\
(x-\sqrt{3})(x+4)(x-4)=\stackrel{y}{0}\implies (x-\sqrt{3})(\stackrel{\stackrel{difference}{of~squares}}{x^2-4^2})=y
\\\\\\
(x-\sqrt{3})(x^2-16)=y\implies x^3-16x-x^2\sqrt{3}+16\sqrt{3}=y
\\\\\\
x^3-x^2\sqrt{3}-16x+16\sqrt{3}=y
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