Find the zeroes of the quadratic polynomial √2
2 + 7 + 5√2.
Pls answer exam time
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Step-by-step explanation:
the zeroes of the quadratic polynomial be α=3+
7
,β=3−
7
Then, a+β=3+
7
+3−
7
=6
αβ=(3+
(
7))×(3−
7
)=9−7=2
Sum of zeroes =α+β=6Product of zeroes =αβ=2
Then, the quadratic polynomial =x
2
−( sum of zeroes )x+ product of zeroes =x
2
−(6)x+2
=x
2
−6x+2
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