4. Find the equilateral polynomial with the given number as the sum and product of its zero
are 4 and 1 respectively.
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Answer: (i) 1/4 , −1 Let the polynomial be p(x) = ax2 + bx + c, Now a = 1, b = – 1/4 and c = –1 Hence, the required quadratic polynomial = ax2 + bx + c = x2 −1/4x −1 = 4(x2 −1/4x −1)
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