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Find zeros polynomial whose sum and product of zeros are root 3 and -3/2 also find its zeros |
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Answer» ong>Step-by-step explanation: ||✪✪ CORRECT QUESTION ✪✪|| find quadratic polynomial whose sum and product of zeros are given as 21/8 ans 5/16. ALSO find zeros of the polynomial by factorization .. || ★★ FORMULA USED ★★ || → Equation with sum and product of ROOTS is given by x² - (sum of roots)x + Product of roots = 0 || ✰✰ ANSWER ✰✰ || we have given , → sum of roots = (21/8) → Product of roots = (5/16) So, The required Quadratic Equation is :- → x² - (sum of roots)x + Product of roots. = 0 → x² - (21/8)x + (5/16) = 0 Taking LCM now, we get, → (16x² - 42x + 5) /16 = 0 → 16x² - 42x + 5 = 0 Splitting the middle term now, we get, → 16x² - 2x - 40x + 5 = 0 → 2x(8x - 1) - 5(8x - 1) = 0 → (2x - 5) (8x - 1) = 0 Putting both Equal to Zero now, we get, → 2x - 5 = 0 → 2x = 5 → x = (5/2) . and, → 8x - 1 = 0 → 8x = 1 → x = (1/8) . Hence, we can say that, The Required Quadratic Equation is 16x² - 42x + 5 = 0 and Its zeros are (5/2) and (1/8) .. |
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