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Form a quadratic polynomial f(x) with sum and product of zeroes are 2 and - 3/5 respectively. |
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Answer» wer is The polynomial f(x) = 5x² - 10x - 3, whose sum of zeroes is 2, and product of the zeroes is (-3/5).Full explanation:The sum of zeroes is 2 (given)The product of zeroes is (-3/5) (given)TO FIND:The quadratic polynomial f(x), where sum of the zeroes and the product of the zeroes will be 2, (-3/5) respectively.The formula for a quadratic polynomial is⇒ K[x² - (sum of the zeroes)x + (product of zeroes)]So,PUTTING the given VALUES in the above formula, we will get the required polynomial.→ K [ x² - (2)x + (-3/5) ]→ K[ x² - 2x - (3/5) ]→ K[ (5x² - 10x - 3)/5 ]∵ By taking LCM = 5→ 5 [ (5x² - 10x - 3)/5 ]∵ Taking K (CONSTANT) = 5 so, 5 will be cancelled and we will get,→ 5x² - 10x - 3Thus,The f(x) = 5x² - 10x - 3 |
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