Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
Let the polynomial be ax2 + bx + c, and its zeroes be α and ß
Given α + ß = 0 = `–b/a`
αß = `sqrt5 ` = `c/a`
If a = 1, b = 0, c = `sqrt5`
Therefore, the quadratic polynomial is x2 + `sqrt5`
Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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