Find the zeros of the following quadratic polynomials.
$t^{2} - 15$

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Solution

Given,
$\begin{array}{rcl} t^{2} - 15 & = & 0 \\ (t + \sqrt{15}) (t - \sqrt{15}) & = & 0 \\ \Rightarrow & (t + \sqrt{15}) = 0 a n d (t - \sqrt{15}) = 0 \\ \Rightarrow & t = (- \sqrt{15}) o r t = \sqrt{15} \end{array}$
Therefore, the zeros of the given polynomials are $\sqrt{15} and (- \sqrt{15})$ .

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