Question
Find the zeros of the polynomial $x^2 + 2x - 195$
✓
Answer
Here, $p(x) = x^2 + 2x - 195$
Let $p(x) = 0$
$\Rightarrow x^2 + (15 - 13)x - 195 = 0$
$\Rightarrow x^2 + 15x - 13x - 195 = 0$
$\Rightarrow x(x + 15) - 13(x + 15) = 0$
$\Rightarrow (x + 15)(x - 13) = 0$
$\Rightarrow x = -15, 13$
Hence, the zeros are $-15$ and $13$.
Let $p(x) = 0$
$\Rightarrow x^2 + (15 - 13)x - 195 = 0$
$\Rightarrow x^2 + 15x - 13x - 195 = 0$
$\Rightarrow x(x + 15) - 13(x + 15) = 0$
$\Rightarrow (x + 15)(x - 13) = 0$
$\Rightarrow x = -15, 13$
Hence, the zeros are $-15$ and $13$.
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