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| 1. |
Find the sum and product of zeros of 3x^2-5x+6 |
| Answer» we have to find\xa0sum\xa0and\xa0product\xa0of zeroes of the given polynomial 3x² - 5x + 6.we know, for general form of quadratic polynomial, ax² + bx + c\tsum of zeroes = - coefficient of x/coefficient of x² = -b/a\tsum of zeroes = - coefficient of x/coefficient of x² = -b/a product of zeroes = constant/coefficient of x² = c/aon comparing 3x² - 5x + 6 with ax² + bx + c we get, a = 3, b = -5 and c = 6so, sum of zeroes = -b/a = -(-5)/3 = 5/3product of zeroes = c/a = (6)/3 = 2\xa0hence,\xa0sum of zeroes = 5/3and\xa0product of zeroes = 2 | |