if √2 &-√2 are zeroes find quadratic polynomial
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3
Answer:
Let the zeroes of the quadratic polynomial be α=
2
,β=2
2
Then, α+β=
2
+2
2
=
2
(1+2)=3
2
αβ=
2
×2
2
=4
Sum of zeroes =α+β=3
2
Product of zeroes =αβ=4
Then, the quadratic polynomial =x
2
−( sum of zeroes )x+ product of zeroes =x
2
−(3
2
)x+4
=x
2
−3
2
x+4
Step-by-step explanation:
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if √2 &-√2 are zeroes find quadratic polynomial
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