Question

Find quedratic polynomial if sum of product of zeros are -5 and 4

Answer 1

Answer:

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$\alpha + \beta = \frac{ - b}{a} \\ \alpha + \beta = - 5$

$\alpha \beta = \frac{c}{a} \\ \alpha \beta = 4$

Therefore ,

$p(x) = k({x}^{2} + ( \alpha + \beta )x + \alpha \beta$

therefore ;

$p(x) = k( {x}^{2} - 5x + 4)$

Where k is constant

Answer 2

Answer:

$\huge\fcolorbox{black}{pink}{Answer-}$

$\alpha + \beta = - 5 \\ \alpha \beta = 4$

According to equation ,

$p(x) = k( {x}^{2} + ( \alpha + \beta )x + \alpha \beta \\ p(x) = k( {x}^{2} - 5x + 4)$

Hope that helps