Question

write a quadratic polynomial.,whos sum and the product of zeroesare 3 and-2

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Answer 1

SOLUTION :

Given-

Sum of zeroes = 3

product of zeroes = (-2)

Quadratic equation

x² - (sum of zeroes)x + Product of zeroes

= x² - 3x + (-2)

= x² - 3x - 2

Hence

required quadratic equation is

x² - 3x - 2

Answer 2

A Quadratic Polynomial is such type of polynomial which has degree 2 or which has 2 zeroes.

Given,

Sum of Zeroes = 3

Product of Zeroes = -2

Now,

For the Quadratic Polynomial ;

$\mathsf{\implies \: P(x) \: = \: {x}^{2} \: - \: ( \: Sum \: Of \: Zeroes \:)x \: + \: Product \: of \: Zeroes } \\ \mathsf{ \implies \: P(x) \: = \: {x}^{2} \: - \: 3x \: + \: ( \: -2 \: )} \\ \mathsf {\: \therefore \: P(x) \: = \: x^{2} \: - \: 3x \: - \: 2}$