If one of the zeroes of the quadratic polynomial (p – l)x² + px + 1 is -3, thenthe value of p is
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Answer:
x
2
+px+q=0 ---- (1)
x
2
+qx+p=0 ---- (2)
By applying mathematical generality
x=1 is one of the roots,
From which both equations, we get
1+p+q=0
from equation 1
products of roots =q
Hence, roots of first equation x=1 and x=q
Similarly, for equation (2)
x=1 and x=p
the equation having roots p and q is
x
2
−(p+q)x+pq=0
On substituting the values
x
2
+x+pq=0
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