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202 +50 tblesseosо apolynomialfind dtp.L.B. |
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Answer» : • α + ß = -5/2 • αß = 3 Note: ★ The possible values of the variable for which the polynomial becomes ZERO are called its zeros .★ A quadratic polynomial can have atmost two zeros .★ The GENERAL form of a quadratic polynomial is given as ; ax² + bx + c .★ If α and ß are the zeros of the quadratic polynomial ax² + bx + c , then ; • Sum of zeros , (α + ß) = -b/a • Product of zeros , (αß) = c/aSolution : Here ,The given quadratic polynomial is ; 2x² + 5x + 6 .Now ,Comparing the given quadratic polynomial with the general quadratic polynomial ax² + bx + c , we have ; a = 2b = 5c = 6 We know that , => Sum of zeros = -b/a=> α + ß = -5/2 ALSO ,=> Product of zeros = c/a=> αß = 6/2 = 3 Hence , • α + ß = -5/2 • αß = 3 |
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