Question

find a quadratic polynomial whose sum and product of zeros are 1 and minus root 2​

Answer 1

Answer:

Hi there, here we have,

Sum of the zeroes = 1

Product of the zeroes = $-\sqrt{2}$

So, general form of a quadratic polynomial is = $x^2-(Sum)x+product$

So our quadratic polynomial is,

=>  $x^2-(1)x+(-\sqrt{2})$

=>  $x^2-x-\sqrt{2}$

Hope this helps you.

All the best.

Answer 2

Answer:

Quadratic equation is x^2 - x - root 2 = 0

Step-by-step explanation:

Let the zeroes of the equation be a and b,

then,

given,

a + b = 1

a.b = -root 2

Therefore quadratic equation can be given by,

x^2 - (a + b)x + (a.b) = 0

x^2 - x - root 2 = 0