Question

Find a quadratic polynomial , the sum and product of whose zeroes are -3/2 and -1 respectively.

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Answer 1

given : sum of zeros , (a+b) = -(3/2)

product of zeros, a×b = -1

then the quadratic equation is given by;

x^2 - (a+b)x + (a×b)

=> x^2 -(-(3/2))x + (-1)

=> x^2 +(3/2)x -1