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Zeroes of a Polynomial

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Question

Solve the following quadratic equation by factorization method
$x^{2} - 5 x + 4 = 0$

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Solution

We have,
$x^{2} - 5 x + 4 = 0$
$x^{2} - (1 + 4) x + 4 = 0$
$x^{2} - x - 4 x + 4 = 0$
$x (x - 1) - 4 (x - 1) = 0$
$(x - 1) (x - 4) = 0$
$x = 1$ or $x = 4$

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