Question

if the zeroes of a quadratic polynomial are -1÷2and 3÷2 then find the polynomial​

Answer 1

Answer:

$\alpha + \beta = - 1 \div 2 + 3 \div 2 \\ = 2 \div 2 = 1 \\ \alpha \beta = - 1 \div 2 \times 3 \div 2 = - 3 \div 4 \\ x ^{2} - ( \alpha + \beta )x + \alpha \beta \\ x^{2} - x - 3 \div 4 \\ 4x ^{2} - 4x - 3 \: is \: the \: required \: polynomial.$

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