Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficient.
$t^{2} - 15$

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Solution

$t^{2} - 15$
$= (t - \sqrt{15}) (t + \sqrt{15})$
Zeroes : $\sqrt{15}, - \sqrt{15}$
Sum of Zeroes : $\sqrt{15} - \sqrt{15} = 0 = \frac{- b}{a}$
Product of zeroes : $\sqrt{15} x - \sqrt{15} = - 15 = \frac{- 15}{1} = \frac{c}{a}$

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t^{2} - 15

Question 1 (v)
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

$t^{2} - 15$

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