1.

Write the polynomial whose zeros are √3,-√3with explanation.correct answer=marked as BRAINLIEST​

Answer»

To FIND :-

Solution :-

Given,

  • Zeroes of quadratic polynomial is √3 and -√3.

[ First find out sum of roots ]

\longrightarrow Sum of roots = √3 + (-√3)

\longrightarrow Sum of roots = √3 - √3

\longrightarrow Sum of roots = 0

.°. α + β = 0 \green\bigstar

[ Now, find out product of roots ]

\longrightarrow Product of roots = √3 × -√3

\longrightarrow Product of roots = -√3 × 3

\longrightarrow Product of roots = -3

.°. αβ = -3 \orange\bigstar

As we know that,

Quadratic polynomial ;

↪ x² - (α + β)X + αβ

[ PUT the values ]

\longrightarrow x² - (0)x + (-3)

\longrightarrow x² - 0x - 3

\longrightarrow x² - 3 \red\bigstar

Therefore,

The required quadratic polynomial is x² - 3.


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