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Question

For polynomial p(x)=x24x+3,α+β= .................( where α and β are roots of polynomial.)

A
Positive fraction
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B
Negative integer
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C
Positive integer
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D
Zero
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Solution

The correct option is C Positive integer
Given polynomial: p(x)=x24x+3

Comparing above equation with standard quadratic polynomial ax2+bx+c=0 we get
a=1,b=4

Let α,β be roots of p(x)
α+β=ba=(4)1=4, which is a positive integer.

Hence, option C is correct.

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