Q.

P(x) is a quadratic polynomial whose values at x=1 and at x=2 are equal in magnitude but opposite in sign.  If −1 is a root of the equation P(x)=0, then the other root is

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answer is 1.6.

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Detailed Solution

P(x)=ax2+bx+cGiven that P(1)=−P(2)⇒a+b+c=−(4a+2b+c)⇒5a+3b+2c=0----1Also, we have P(−1)=0⇒a−b+c=0----2Solving (1) and (2), we get ⇒8a+5c=0⇒ca=−85 So, αβ=−85⇒(−1)β=−85⇒β=85
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