Question

if sum and product of a quad polynomial are -1/12 and-1/2 respectively then find the quad polynomial​

Answer 1

Answer:

Step-by-step explanation:

The general quadratic equation is:

x^2 - ( \text{ sum of zeros } )x + \text{ product of zeros } = 0

From given,

\text{Sum of zeros } = \sqrt{2} \\\\\text{Product of zeros } = \frac{1}{3}

Therefore, the quadratic equation is given as:

x^2 - \sqrt{2}x + \frac{1}{3} = 0\\\\3x^2 - 3\sqrt{2}x + 1 = 0

Thus the required polynomial is found.

Answer 2

Answer:

Step-by-step explanation:

The general quadratic equation is:

x^2 - (\text{ sum of zeros } )x + \text{ product of zeros } = 0

From given,

\text{Sum of zeros } = \sqrt{2} \\\\\text{Product of zeros ] = \frac{1}{3}

Therefore, the quadratic equation is given

as:

x^2 - \sqrt{2}x + \frac{1}{3} = O\\\\3x^2 -

3\sqrt{2}x + 1 = 0

Thus the required polynomial is found.