Test: Factor Theorem - Ambitious

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Question 1:   Find the factors of ${x}^{3}-7x-6$
$\left(x-3\right)\left(x+2\right)\left(x+1\right)$
$\left(x-6\right)\left(x-1\right)\left(x+1\right)$
$\left(x-4\right)\left(x-2\right)\left(x+1\right)$
$\left(x+3\right)\left(x+2\right)\left(x-1\right)$
Question 2:   Find the factors of ${x}^{3}+2{x}^{2}-19x-20=0$
$\left(x-10\right)\left(x-2\right)\left(x+1\right)$
$\left(x-5\right)\left(x+5\right)\left(x-2\right)$
$\left(x-5\right)\left(x+4\right)\left(x-1\right)$
$\left(x-4\right)\left(x+5\right)\left(x+1\right)$
Question 3:   Find the factors of $2{x}^{3}+7{x}^{2}-5x-4$
$2\left(x-2\right)\left(x-1\right)\left(x+4\right)$
$\left(2x-1\right)\left(x+1\right)\left(x+2\right)$
$2\left(x-\frac{1}{2}\right)\left(x+\frac{1}{2}\right)\left(x+4\right)$
$2\left(x-1\right)\left(x+\frac{1}{2}\right)\left(x+4\right)$
Question 4:   Find the repeated factor of ${x}^{3}-3{x}^{2}+4$
$\left(x-3\right)$
$\left(x-2\right)$
$\left(x+1\right)$
$\left(x-1\right)$
Question 5:   Find the repeated factor of ${x}^{3}-2x-7x-4$
$\left(x+1\right)$
$\left(x-2\right)$
$\left(x-1\right)$
$\left(x-2\frac{1}{3}\right)$
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