Question

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

Answer 1

c

Explanation:

Answer 2

`\bf \begin{cases} x=√(3)\implies &x-√(3)=0\\ x=-4\implies &x+4=0\\ x=4\implies &x-4=0 \end{cases} \\\\\\ (x-√(3))(x+4)(x-4)=\stackrel{y}{0}\implies (x-√(3))(\stackrel{\stackrel{difference}{of~squares}}{x^2-4^2})=y \\\\\\ (x-√(3))(x^2-16)=y\implies x^3-16x-x^2√(3)+16√(3)=y \\\\\\ x^3-x^2√(3)-16x+16√(3)=y`