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Byju's Answer
Standard X
Mathematics
Relationship between Zeroes and Coefficients of a Polynomial
If πΆ and π· ...
Question
If 𝜶 and 𝜷 are the zeroes of the polynomial
6
y
2
−
7
y
+
2
, find a quadratic polynomial whose zeroes are
1
α
,
1
β
.
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Solution
Let us find the coefficients.
a = 6,
b = -7
c = -2
Step 1:
Find the sum and product of zeroes of the given polynomial
where 𝜶 and 𝜷 are the zeroes of the given polynomial.
Step 2:
Find the sum and product of zeroes of the required polynomial
Step 3: Find the required polynomial
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Similar questions
Q.
If 𝜶 and 𝜷 are the zeroes of the polynomial 𝒇(𝒙) =
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Q.
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Q.
Find all the zeroes of the polynomial
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