Question

write a polynomial whose sum of zeroes is 2 and product of zeroes is -7. (proper explanation please)​

Answer 1

Answer:

THE ANSWERS IS

${x}^{2} - 2x - 7$

Step-by-step explanation:

THE FORMULA TO FIND QUADRATIC POLYNOMIAL IS

$k( {x}^{2} - ( \alpha + \beta )x + ( \alpha \beta ) )\\ here \: \alpha + \beta = 2 \\ \alpha \beta = - 7 \\ k( {x}^{2} - (2)x + ( - 7)) \\ when \: there \: is \: no \: \\ denominator \: in \: the \: \\ given \: zeroes \: the \: k \: \\ value \: becomes \: 1 \\ therefore \\ 1( {x}^{2} - 2x - 7) \\ {x}^{2} - 2x - 7$

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