Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients.
$4 u^{2} + u$

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Solution

$\begin{matrix} 4 u^{2} + u = 0 u (4 u + 1) = 0 ∴ u = 0 a n d u = \frac{- 1}{4} s u m o f r o o t s = \frac{- 1}{4} = \frac{- 1}{4} = \frac{- b}{a} o d u c t o f r o o t s = \frac{- 1}{4} \times 0 = 0 = \frac{0}{4} = \frac{c}{a} I n e q u^{n} a x^{2} + b x + c = 0 s u m o f r o o t s = \frac{- b}{a} p r o d u c t o f r o o t s = \frac{c}{a} H e n c e, w e v e r i f i e d t h e g i v e n d a t a . \end{matrix}$

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