Question

find the quadratic polynomial for zeroes √2,-√2 explain
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Answer 1

Answer:

x² - 2

Step-by-step explanation:

Solution -

We know , here the two roots are - √2 , - √2

So, (x - √2 ), ( x + √2 ) are the factors of the quadratic polynomial .

Quadratic polynomial = (x - √2 )( x + √2 )

x² + (√2 - √2) x + (√2 )(- √2)

x² + 0x - 2

x² - 2 is the Quadratic polynomial

Quick Hint for such cases when the two roots are given ,

Quadratic polynomial = x2 - (α + β)x + αβ

where , α and β are the two roots of the polynomial .

I hope this helps !