Question 2 of 2intermediate🔧 ApplyShort Answer2 marks
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i)
Answer
(ii)
Answer
(iii)
Answer
(iv)
Answer
(v)
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(vi)
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Explanation
This question tests the relationship between zeroes and coefficients of a quadratic polynomial. From the textbook context, for a quadratic polynomial with zeroes and , the sum of zeroes equals and the product equals . Taking , we get and , giving the polynomial . Multiples of these polynomials are also valid answers.