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Form a quadratic polynomial whose zeroes areand |
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Answer» ANSWER: x² - 6x - 6 = 0 Step by step explanation: LET α & β be the zeroes of the polynomial. α = 3 + √15 and β = 3 - √15 The formula to GET the equation: x² - ( sum of roots )x + (PRODUCT of roots) = 0 Sum of roots = α + β and product = αβ Here, α + β = (3 + √15) + (3 - √15) = 6 and αβ = (3 + √15) (3 - √15) = 9 - 15 = -6 = x² - 6x -6 = 0 .°. x² - 6x -6 = 0 Thus, the quadratic polynomial formed is: x² - 6x - 6 = 0 |
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