Question

3. Use the factor theorem to factorize x + x2 - 4x - 4
completely
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Answer 1

Here is your step by step solution:-

$x + {x}^{2} - 4x - 4 = 0 \\ \\ {x}^{2} - 3x - 4 = 0 \\ \\ {x }^{2} - 4x + x - 4 = 0 \\ \\ x(x - 4) +1(x - 4) = 0 \\ \\ (x - 4) \: (x + 1) = 0 \\ \\ x = 4 \: \: \: \: \: or \: \: \: \: \: \: x = - 1$

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