# Test: Polynomial - Ambitious

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Question 1:   Solve by factoring: ${x}^{2}+11x+18=0$
$x=-11,x=-18$
$x=2,x=-6$
$x=3,x=6$
$x=-2,x=-9$
Question 2:   Solve by factoring: $5{x}^{2}-26x+24=0$
$x=6$, $x=20$
$x=-4$, $x=5$
$x=4$, $x=1\frac{1}{5}$
$x=-3$, $x=\frac{3}{4}$
Question 3:   Solve: $4{x}^{2}-5x-6=0$
$x=-1\frac{2}{3},x=\frac{4}{5}$
$x=-1,x=-2$
$x=2,x=-\frac{2}{7}$
$x=2,x=-\frac{3}{4}$
Question 4:   Solve: ${x}^{2}+2x+1=0$
$\left\{\begin{array}{l}{x}_{1}=\text{1}\\ {x}_{2}=\text{-2}\end{array}$
Doesn’t exist
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\\ {x}_{2}=\text{-1}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\\ {x}_{2}=\text{1}\end{array}$
Question 5:   Solve: $6{x}^{2}+9x+2=0$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\text{.2287}\\ {x}_{2}=\text{-0}\text{.2713}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\text{.7365}\\ {x}_{2}=\text{0}\text{.1143}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\\ {x}_{2}=\text{1}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{2}\text{.0284}\\ {x}_{2}=\text{-1}\text{.6592}\end{array}$
Question 6:   Solve: $8{x}^{2}+5x-6=0$
$\left\{\begin{array}{l}{x}_{1}=\text{0}\text{.9821}\\ {x}_{2}=\text{0}\text{.1231}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{2}\text{.1632}\\ {x}_{2}=-\text{0}\text{.9081}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{0}\text{.0331}\\ {x}_{2}=\text{0}\text{.88}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\text{.2332}\\ {x}_{2}=\text{0}\text{.6082}\end{array}$
Question 7:   Solve: $6{x}^{2}-15x+7=0$
$\left\{\begin{array}{l}{x}_{1}=0.027\\ {x}_{2}=0.656\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-0.098\\ {x}_{2}=1.17\end{array}$
$\left\{\begin{array}{l}{x}_{1}=0.6208\\ {x}_{2}=1.8792\end{array}$
$\left\{\begin{array}{l}{x}_{1}=0.32\\ {x}_{2}=1.51\end{array}$
Question 8:   Solve: $9{x}^{2}+11x-4=0$
$\left\{\begin{array}{l}{x}_{1}=\text{1}\text{.2862}\\ {x}_{2}=\text{1}\text{.0937}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{1}\text{.6362}\\ {x}_{2}=0.3626\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\text{.9725}\\ {x}_{2}=\text{0}\text{.6262}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\text{.5155}\\ {x}_{2}=\text{0}\text{.2933}\end{array}$
Question 9:   Solve: $5{x}^{3}+14{x}^{2}+7x-2=0$
$\left\{\begin{array}{l}{x}_{1}=-\text{2}\frac{\text{1}}{\text{2}}\\ {x}_{2}=-1\\ {x}_{3}=\frac{2}{7}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=1\frac{2}{3}\\ {x}_{2}=1\frac{3}{4}\\ {x}_{3}=2\frac{1}{8}\end{array}$
$\left\{\begin{array}{l}{x}_{1}=1\\ {x}_{2}=2\\ {x}_{3}=3\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\\ {x}_{2}=-2\\ {x}_{3}=\frac{1}{5}\end{array}$
Question 10:   Solve: $2{x}^{4}+14{x}^{3}+33{x}^{2}+31x+10=0$
$\left\{\begin{array}{l}{x}_{1}=\text{-2}\text{.6713}\\ {x}_{2}=-1.0646\\ {x}_{3}=0.9361\\ {x}_{4}=1.3772\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-3}\\ {x}_{2}=-2\\ {x}_{3}=1\\ {x}_{4}=2\end{array}$
$\left\{\begin{array}{l}{x}_{1}=\text{-1}\\ {x}_{2}=-1.0646\\ {x}_{3}=-2\\ {x}_{4}=-2.9354\end{array}$
$\left\{\begin{array}{l}{x}_{1}=-\text{3}\frac{\text{1}}{\text{5}}\\ {x}_{2}=-2\frac{2}{3}\\ {x}_{3}=3\\ {x}_{4}=3\frac{2}{5}\end{array}$