Question

Write the quadratic polynomial whose zeroes are (√3+2) and(√3-2).​

Answer 1

Answer:

Answer is p(x)=x^2 - 6x +7

Step-by-step explanation:

The formula is p(x)= x^2 - (alpha + beta)x + (alpha × beta)

alpha+ beta = 3 - √2 + 3 + √2

                    =3+3 +0

                     =6

alpha × beta= 3-√2 × 3+√2

                     =(3-√2)(3+√2)

                     =3^2 - √2^2

                      =9-2

                      =7

p(x)= x^2 - (alpha+beta)x + (alpha × beta)

p(x)=x^2 - (6)x+1

Answer is p(x)=x^2 - 6x +7

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Answer 2

Answer:

Answer. It is given that the zeros of the quadratic polynomial is 2+√3 and 2-√3 . Sum of zeros = (2+√3+2-√3) = 4 .

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