Question

Find a quadratic polynomial whose Sum and product of its zeroes are 1/4 and -1 respectively.




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Answer 1

SOLUTION : let the quadratic equation be

ax² + bx + c whose zeroes are ß and ¢

ß + ¢ = ¼ [ GIVEN ]

ߢ = -1 [ GIVEN ]

ax² + bx + c = x² - ( ß + ¢ ) x + ߢ = 0

x² - ¼ x + ( - 1 ) = 0

4x² - x - 4 = 0