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Question

Let p and q be the degree and the number of zeros of the polynomial g(x)=x26x+9 then find p+qpq

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Solution

Degree of the polynomial=highest power of the polynomial=2
g(x)=x26x+9
=x22×3x+32
=(x3)2
number of zeros=2
q=2
Hence p+qpq=2+22×2=44=0

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