Question

if the zeros of a polynomial are -2 and 3, find the polynomial?​

Answer 1

Answer:

$let \: \alpha = - 2 \: and \: \beta = 3$

Sum of zeros =

$( \alpha + \beta ) = ( - 2 + 3) = - 1$

product of zeros =

$( \alpha \beta ) = ( - 2 \times 3) = - 6$

So,the required polynomial is :

$x^{2} - ( \alpha + \beta ) x+ ( \alpha \beta )$

${x}^{2} - ( - 1)x + ( - 6)$

${x}^{2} + x - 6$

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Answer 2

Ur answer

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