Question

Find the quadratic polynomial of the given number as the sum and product of its zeros respectively 0,√7​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given :

• The sum of the zeros = 0

• The product of the zeros = √7

To Find :

• The quadratic polynomial.

Solution :

Here, we are given the sum and product of the zeros and we have to find the quadratic equation. So, firstly we will assume the zeros of the polynomial as α and β.

Let α and β be the zeros of the polynomial.

We know that :-

→ α + β = 0

→ α × β = √7

Now, we know that a quadratic polynomial is of the form :-

→ k (x² - (sum of zeros)x + product of zeros)

→ k (x² - (α + β)x + α × β)

→ k (x² + √7)

→ x² + √7

Therefore, the polynomial is x² + √7