# QUIZ-Cubic Equations

1. What are the roots of the cubic equation ${x}^{3}\text{ }-6{x}^{2}\text{ }+\text{ }\text{ }11x-6=0$?

• {1, -6, 11}
• {1, 2, 3}
• {1, -6, -6}
• {2, 3, 6}

2. The following cubic equation ${x}^{3}\text{ }+\text{ }\text{ }\text{ }\text{ }4{x}^{2}\text{ }+\text{ }\text{ }7x\text{ }\text{ }+6=0\text{ }\text{ }\text{ }\text{ }has\text{ }\text{ }\text{ }a\text{ }\text{ }\text{ }root\text{ }\text{ }\text{ }at\text{ }\text{ }\text{ }x=-2.$ What are the other roots of the equation?

• {1, 1}
• { $-1+\text{ }\text{ }\sqrt{2\text{ }\text{ }}i,\text{ }\text{ }\text{ }-1\text{ }\text{ }-\sqrt{2}i$}
• { $1+\text{ }\text{ }\sqrt{2\text{ }\text{ }}i,\text{ }\text{ }\text{ }1\text{ }\text{ }-\sqrt{2}i$}
• {2, 2}

3. For the following figure, what is the equation of the graph?

• $y\text{ }\text{ }=\text{ }\text{ }{x}^{3}-6{x}^{2}+\text{ }\text{ }\text{ }11x\text{ }\text{ }-6$
• $y\text{ }\text{ }=\text{ }\text{ }{x}^{3}+{x}^{2}+\text{ }\text{ }\text{ }2x\text{ }\text{ }+3$
• $y\text{ }\text{ }=\text{ }\text{ }3{x}^{3}+2{x}^{2}+\text{ }\text{ }\text{ }x\text{ }\text{ }+1$
• $y\text{ }\text{ }=\text{ }\text{ }2{x}^{3}+3{x}^{2}+\text{ }\text{ }\text{ }x\text{ }\text{ }+1$