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Polynomial

Find the valu...

Question

Find the value of the polynomial $x^{3} - x^{2} - 4 x + 4$ if $x = 1$ .

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Solution

Given polynomial is $x^{3} - x^{2} - 4 x + 4 = x^{2} (x - 1) - 4 (x - 1) = (x - 1) (x^{2} - 4)$
The value of polynomial if $x = 1$ is $(1 - 1) (1^{2} - 4) = (0) (1 - 4) = 0$

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