The polynomial equations $P_{1} (x)$ = $x^{3} + x^{2} + x + 1$ and $P_{2} (x)$ = $x^{2} - 1$ have how many factors in common?

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Solution

The correct option is A
1

$P_{1} (x)$ can be factorized as $(x + 1) (x^{2} + 1)$ . So, There are two factors of $P_{1}$ (x)

$P_{2} (x)$ can be factorized as $(x + 1) (x - 1)$ and hence,there are are two factors of $P_{2}$ (x).

So, there are one factor in common for $P_{1} (x)$ and $P_{2} (x)$ .

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