Answer:
[tex] { 25}^{2} - 30x + 4[/tex]
Step-by-step explanation:
Hii friend,
3-√5/ 5 , 3+√5/ 5 are the zero of the polynomial.
Let alpha= 3-√5/ 5 and Beta = 3+√5/ 5
Sum of zeros (Alpha + Beta) =( 3-√5/ 5)+(3+√5/ 5) =3-√5+3+√5/ 5 =6/5
Product of zeros=(Alpha Beta) =( 3-√5/ 5) ,(3+√5/ 5)=
9-5/25=4/25
Therefore,
QUADRATIC POLYNOMIAL = X2-(Alpha + Beta)X + Alpha x Beta
[tex]25x^{2} - 30x + 4[/tex]
Hence,
The Quadratic polynomial =
HOPE IT WILL HELP YOU.... :-)
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Answers & Comments
Answer:
[tex] { 25}^{2} - 30x + 4[/tex]
Step-by-step explanation:
Hii friend,
3-√5/ 5 , 3+√5/ 5 are the zero of the polynomial.
Let alpha= 3-√5/ 5 and Beta = 3+√5/ 5
Sum of zeros (Alpha + Beta) =( 3-√5/ 5)+(3+√5/ 5) =3-√5+3+√5/ 5 =6/5
Product of zeros=(Alpha Beta) =( 3-√5/ 5) ,(3+√5/ 5)=
9-5/25=4/25
Therefore,
QUADRATIC POLYNOMIAL = X2-(Alpha + Beta)X + Alpha x Beta
[tex]25x^{2} - 30x + 4[/tex]
Hence,
The Quadratic polynomial =
[tex]25x^{2} - 30x + 4[/tex]
HOPE IT WILL HELP YOU.... :-)