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Q.1. If one root of the quadratic polynomial 2 x 2 - 3 x + β is 3, find the other root and also find the value of β .

Let px = 2x2 - 3x + βNow, let a and b are the roots of px.Now, a + b = -coefficient of xcoefficient of x2 = 32Now, ab = constant termcoefficient of x2 = β2Now, let a = 3Now, a + b = 323 + b = 32b = -32Now, ab = β23 × -32 = β2β = -9

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