Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
`1/4 , -1`
Let the quadratic polynomial be ax2 + bx + c, and its zeroes be α and ß
Given α + ß = `1/4 = –b/a`
αß = -1 = `c/a`
If a = 4, b = -1, c = -4
The quadratic polynomial is 4x2 – x -4.
Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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