Find the zeroes of the polynomial $x^{2} + 5 x - 204$ .

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Solution

Zeroes of polynomial $x^{2} + 5 x - 204$
Using common factor method
$x^{2} + 17 x - 12 x - 204$
$= x (x + 17) - 12 (x + 17)$
$= (x - 12) (x + 17)$
To find zeroes of polynomial, we can equate the factor equal to zero.
$∴ (x - 12) = 0$ $;$ $(x + 17) = 0$
$x = 12$ $;$ $x = - 17$
$(12, - 17)$ zeroes of polynomial.
Hence, the answer is $(12, - 17) .$

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