Question

Find a quadratic polynomial with given numbers as the sum and product

of zeroes respectively -2 and -3.​

Answer 1

Answer:

$Let \: \alpha \: and \: \beta \: be \: the \: Zeroes$

Given :

$\bull \: \: \: \: \: \alpha + \beta = - 2$

$\bull \: \: \: \: \alpha \beta = - 3$

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We know that ,

$\large \boxed{p(x) = \: {x}^{2} - ( \alpha + \beta )x + \alpha \beta }$

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

$\huge \hookrightarrow \: = {x}^{2} + 2x - 3$

is the required quadratic polynomial

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