If a, b are the zeros of the polynomial such that a+b = -6 and ab = -4 , then write the polynomial
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Appropriate Question :-
- if a and b are the zeroes of the polynomial such that a+b=-6 and ab=-4 then write the polynomial
Required Answer :-
- x² - 6x + 4.
Concept used here :-
- 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 + 4
Additional details :-
- The 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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