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Question 2 Find a quadratic polynomial each with the given numbers as the sum and...

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Algebra

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Question 2 Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively i 1 ii 2 iii 0 5 4 3 iv 1 1 v vi 4 1 11 4 4 Answer i 1 1 4 Let the polynomial be ax bx c and its zeroes bea and B a B 1 b 4 a a 1 4 a If a 4 then b 1 c 4 4 C Therefore the quadratic polynomial is 4x x 4 ii 2 11 3 a Let the polynomial be ax bx c and its zeroes bea and B a B 3 2 b 3 a 1 3 a If a 3 then b 3 2 c 1

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