Question

A quadritic polynomial whose sum of zeroes is 3 and product of zeroes is -2is​

Answer 1

Answer :

The required polynomial is :

x² - 3x - 2

Given :

• Sum of the zeroes is 3
• Product of the zeroes is -2

To Find :

• The polynomial satisfying the given data

Formula to be used :

If sum and product of the zeroes of a polynomial are given , then the polynomial can be expressed as :

$\sf \longrightarrow x^{2} - (Sum \: of \: the \: zeroes )x + (Product \: of \: the \: zeroes )$

Solution :

Applying the above formula for the given data :

$\sf = x^{2} - 3x + (-2) \\\\ \sf = x^{2} - 3x - 2$

Answer 2

Answer:

x² - 3x -2

Solution:

A quadratic equation is an equation with 2 as the highest degree of the polynomial.

• Sum of the zeros = 3
• Product of the zeros = -2

So, Equation : x² - (Sum)x + Product.

Hence,

➸ x² - (3)x + (-2)

➸ x² - 3x - 2

Formulas :

• Sum of zeroes = -b/a
• Product of zeroes = c/a