Question

From a quadratic polynomial sum = √2 and product 1/3 of its zeroes​

Answer 1

Answer:

The quadratic equation is 3x² – 3√2x + 1.

Step-by-step explanation:

Given:

The sum of the zeros of polynomial = √2

Product of the zeros of polynomial = 1/3

To find:

The quadratic equation

Solution:

Let the zeros of the polynomial be α and β.

A polynomial =

x² – (sum of zeros)x + (product of zeros)

⇒ x² – (α + β)x + (αβ)

⇒ x² – (√2)x + (1/3)

⇒ x² – √2x + 1/3

Multiply the equation by 3,

⇒ 3x² – 3√2x + 1

Equation formed = 3x² – 3√2x + 1

Therefore, the quadratic equation is 3x² – 3√2x + 1.

Answer 2

Answer: i hope this help you