Math, asked by loveyourself07, 5 hours ago

Write a quadratic polynomial whose zeroes are 2 + √2 and 2-√2​

Answers

Answered by shaiksaidulu4914
1

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:

hopes it helps

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Answered by Anonymous
2

Answer:

 \alpha  = 2 +  \sqrt{2} \\  \beta  = 2 -  \sqrt{2}

Substitute in

x {}^{2}  + x( \alpha  +  \beta ) + ( \alpha  \beta )

 \alpha  +  \beta  = 2 +  \sqrt{2}  + 2 -  \sqrt{2}  = 4

 \alpha  \beta  = (2 +  \sqrt{2} )(2 -  \sqrt{2)}  = 4 - 2 \sqrt{2}  + 2 \sqrt{2}  - 2

 =  > 2

therefore eqn will be

x²+4x+2

Step-by-step explanation:

mark brainliest

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