find a quadratic polynomial whose sum and product of zeroes are -3 and 2
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To find: Quadratic Polynomial. where , ( α + β ) is sum of zeroes and αβ is product of zeroes. Here, α = - 4 and β = 2. ⇒ α + β = -4 + 2 = -2.
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-b/a = -3 { sum of zero}
c/a = 2 {product}
if a = 1 {ideal case}
x^2 - 3x + 2 = 0
the reason to choose ideal case was because the question said 'a' quadratic polynomial
hope it helps :))
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