Question

find the quadratic polynomial if sum and product of zeros are given respectively and root 3, 21​

Answer 1

Answer:

• The required polynomial is x² - √3x + 21.

Step-by-step explanation:

We have been given that sum and product of zeros are given respectively and √3 & 21.

So, We have:

• Sum of Zeros =√3
• Product of Zeros = 21

Let required zeros of quadratic polynomial be a and ß.

Here, The Quadratic Polynomial is given by f(x) = x² - ( a + ß)x + aß

f(x) = x² - ( a + ß)x + aß

→ x² - (√3)x + 21

→ x² - √3x + 21

Therefore, The required polynomial is x² - √3x + 21.

Answer 2

Answer:

The  polynomial is x² - √3x + 21.

Step-by-step explanation:

Given Problem:

Find the quadratic polynomial if sum and product of zeros are given respectively and root 3, 21​

Solution:

To Find:

The quadratic polynomial.

---------------------

Given that,

Sum and product of zeros are given respectively and √3 and 21.

It means we have,

Sum of Zeros =  √3

Product of Zeros =  21

Let, zeros of quadraticpolynomial be α and ß,

We know that,

Sum of zeroes = (Alpha +Beta)

Product of zeroes = Alpha.Beta

So,

f(x) = x² - ( a + ß ) x + a.ß

⇒ x² - (√3)x + 21

⇒ x² - √3x + 21........................(Answer)

Hence,

The required polynomial is x² - √3x + 21.