Question

find a quadratic polynomial each with the given number as the sum and product of its zeroes1/4,-1

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Answer 1

SOLUTION

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(i) 1/4 , -1 Let the polynomial be ax2 + bx + c, and its zeroes be α and ß α + ß = 1/4 = -b/a αß = -1 = -4/4 = c/a If a = 4, then b = -1, c = -4 Therefore, the quadratic polynomial is 4x2 - x -4.                                                     

         

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Answer 2

Step-by-step explanation:

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