find the zeros of polynomial x2 + x - p( p+1)
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We get, x^2 + x-p (p+1) = 0
X^2 + x – p^2 –p = 0
X(x + 1) –p(p-1) = 0
So it is obvious that either x (x + 1) = 0 or – p (p-1) = 0
So x = 0 or p = 0.
Now for verification we plug in values of x = 0 or p = 0 in equations we get..
0 + 0 -0(0+1) = 0
0 + 0 – 0 – 0 = 0
L.H.S = R.H.S.
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