Question

write a quadratic polynomial sum of whose zero is 2 are product is -8​

Answer 1

Answer :-

• The quadratic polynomial is x² - 2x - 8.

Given :-

• Sum and product of a quadratic polynomial are 2 and -8 respectively.

To Find :-

• The quadratic polynomial.

Solution :-

As we know that

Quadratic polynomial :-

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

→ x² - (α + β) + αβ

Here

• sum of zeros = 2
• product of zeros = -8

Put the values in the formula

⇒ Quadratic polynomial = x² - (2)x + (-8)

⇒ Quadratic polynomial = x² - 2x - 8

Hence, the quadratic polynomial is x² - 2x - 8.

Answer 2

Answer

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Given,

• sum of two zeroes is 2 are product is -8 .

To find ,

• we have to find here the quadratic polynomial

We know that ,

• to find a quadratic polynomial we have to see the following formula

=> $\bold{ {x}^{2} - (a + b)x + a b }$

Or

=> x^2 - (sum of zeros )x + product of zeros

now ,

• as it is given the sum of zero is 2
• and product of zero is -8 .

by putting these in the formula above we can get the quadratic polynomial .

$= > {x}^{2} - (2)x - 8$

$= > {x}^{2} - 2x - 8$

The quadratic equation or polynomial is x^2 -2x - 8 .

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