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