. Find a quadratic polynomial, the sum and product of whose zeroes are a and 1/a, respectively.
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Answer:
Let the quadratic polynomial be ax
2
+bx+c and its zeros be α , β
We know that,
α+β=
a
−b
=
1
−(−11)
α×β=
a
c
=
1
10
If, a=1, b=11, c=10
Therefore,
The quadratic equation which fits the condition is x
2
+11x+10
Step-by-step explanation:
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