Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients.
$t^{2} - 15$

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Solution

$\begin{matrix} t^{2} - 15 = 0 t = \pm \sqrt{15} s u m o f r o o t s = 0 = \frac{0}{1} = 0 o u d u c t o f r o o t s = - 15 = \frac{- 15}{1} = - 15 I n g e n e r a l a x^{2} + b x + c = 0 s u m o f r o o t s = \frac{- b}{a} A n d, p r o d u c t o f r o o t s = \frac{c}{a} H e n c e, w e v e r i f i e d t h e d a t a . \end{matrix}$

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