Question

Find the quadratic polynomial if
Sum of zeroes=-2
Product of zeroes=-1/3

Answer 1

$Answer$

=> 3x²-6x-1=0

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Step-by-step explanation:

given:

$sum \: of \: zeroes = - 2 \\ product \: of \: zeroes = \frac{ - 1}{3}$

therefore, the quadratic polynomial is:-

${x}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes) = 0 \\ {x}^{2} - ( - 2)x + ( \frac{ - 1}{3}) = 0 \\ {x}^{2} - 2x + ( \frac{ - 1}{3}) = 0 \\ {3x }^{2} -6x - 1 = 0$

hence, the quadratic polynomial is 3x²-6x-1.

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