If α and β are the roots of the polynomial ax ²+ bx + c, thenfind the value of α ²+ β ²

The polynomial is ax ² + bx + c whose zeroes are α and β .
The sum of the zeroes = α + β = -b/a
The product of the zeroes = α β = c/a
∴ α ² + β ² = (α + β ) ² - 2α β = (-b/a) ² – 2 × (c/a)
= (b ² /a ² )– (2c/a)
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