Question

30 POINTS! SOLVE IMMEDIATELY
brainliest gets 30 points
alpha and beta are zeroes of quadratic polynomial 3x^2-5x+1. form a quadratic polynomial with (alpha)^2 and (beta)^2 as zeroes
hint:
x^2-x(alpha+beta) +alpha ×beta →x^2-x[(alpha) ^2+(beta) ^2]+(alpha)^2×(beta) ^2​

Answer 1

Step-by-step explanation:

Sorry bro I don't know I wish I could help u

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Answer 2

Answer:

(i) 2,−1

⇒(x−α)(x−β)=0

⇒(x−2)(x−(−1))=0

⇒(x−2)(x+1)=x  

2

−x−2 is required quadratic polynomical

(ii)  

3

​  

,−  

3

​  

 

⇒ (x−  

3

​  

)(x+  

3

​  

)=0

⇒ x  

2

−(  

3

​  

)  

2

→x  

2

−3=0

⇒ x  

2

−3=0 required quadratic polynomical  

(iii)  

−4

1

​  

,−1

⇒ (x−  

4

1

​  

)(x−(−1))=0

⇒ x  

2

+x−  

4

1

​  

x−  

4

1

​  

=0

⇒ x  

2

+  

4

3

​  

x−  

4

1

​  

=0

⇒ 4x  

2

+3x−1=0 is required quadratic equation

(iv)    

2

1

​  

,  

2

3

​  

 

⇒(x−  

2

1

​  

)(x−  

2

3

​  

)

⇒ x  

2

−(  

2

1

​  

+  

2

3

​  

)x+  

4

3

​  

=0

=x  

2

−2x+  

4

3

​  

=0

⇒4x  

2

−8x+3=0 in required quadratic equation.

Step-by-step explanation: