Question

construct a quadratic equation whose two roots are 5 and -3​

Answer 1

Answer:

THE QUADRATIC POLYNOMIAL IS

${x}^{2} - 2x - 15$

Step-by-step explanation:

THE FORMULA TO FIND QUADRATIC POLYNOMIAL

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

THE QUADRATIC POLYNOMIAL IS

$here \: \\ \alpha = 5 \\ \beta = - 2 \\ \alpha + \beta = 5 + ( - 3) \\ \: \: \: \: \: \: = 5 - 3= 2 \\ \alpha \beta = 5( - 3) = - 15 \\ \\ \\ k[ {x}^{2} - (2)x + ( - 15)] \\ k( {x}^{2} - 2x - 15) \\ when \: there \: is \: no \: \\ denominator \: in \: the \: given \: \\ zeroes \: then \: k \: value \: becomes \\ \\ \\ 1 \\ \\ therefore \: \\ 1( {x}^{2} - 2x - 15) \\ {x}^{2} - 2x - 15$

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