Question

find a quadratic polynomial the sum and product of whose zeros are zero and minus under root 2 respectively​

Answer 1

Answer:

Hii friend,

Sum of zeros = 0

Product of zeros = -✓2

Therefore,

QUADRATIC POLYNOMIAL = X²-(Alpha+Beta)X + (Alpha × Beta)

=> X²-(0)X+(-✓2)

=> X²-0-✓2

=> X²-✓2

HOPE IT WILL HELP YOU..... :-)

Answer 2

Answer:

let the two zeroes of the given quadratic equation be a and b .

Then, a+b =0, and

ab=-root2

we know that th quadratic equation exists in the form x^2-(a+b)x +ab

therefore the required quadratic equation is x^2-0.x+(-root 2)

that is x^2-root2