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 and ß
Given α + ß = 4 = `–b/a`
αß = 1 = `c/a`
If a = 1, then b = -4, c = 1
Therefore, the quadratic polynomial is x2 – 4x +1.
Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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