Question

find the polynomial whose zeros are √2 and -√2​

Answer 1

Answer:

The polynomial = x^2 ( x square) - 2

Answer 2

Answer:

x^2-2

Step-by-step explanation:

general form of a polynomial is

X^2+aX+b=0, where a and b are constants.

When the roots/zeroes are given we can find the polynomial as:

X^2+ (sum of zeroes)X+ (Product of zeroes)=0,

where sum=a and product=b.

now, sum of the given zeroes=√2+(-√2)=0

product of zeroes=√2*(-√2)= 2

therefore, the polynomial whose zeroes are given is:

X^2+0+(-2)=0

OR

X^2-2=0