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If a,B are the Zeroes of a polynomial, such that a+B=6 and aB=4 , then Write the polynomial |
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Answer» :- x² - 6X + 4.Concept If S is the sum of roots of a quadratic polynomial and P is its PRODUCT, the quadratic polynomial is given by x² - Sx + P.Here, S = 6 and P = 4.THEREFORE, quadratic polynomial = x² - Sx + P= x² - 6x + 4Additional detailsThe CHOICE of variable is immaterial. I have chosen x, likewise, once could TAKE it as y , t or anything else. Therefore, if we write the polynomial as y² - 6y + 4 , it is exactly same as x² - 6x + 4. |
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