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Sum of the zeroes of the polynomial x2 + 5x + 6 is ....(A) 5(B) -5(C) 6(D)5/6 |
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Answer» -a polynomial x² + 5x + 6.TO FIND :-The sum of zeroes (ɑ + β).SOLUTION :-By SPLITTING the middle term , we will factorise the given polynomial➳ x² + 5x + 6 = 0➳ x² + 3x + 2X + 6 = 0➳ x(x + 3) + 2(x + 3) = 0➳ (x + 3)(x + 2) = 0➳ x + 3 = 0 , x + 2 = 0➳ x = -3 , x = -2➳ ɑ = -3 , β = -2Now , according to question we have to find the sum of zeros (ɑ + β) of the given polynomial .➠ ɑ + β = -3 + (-2)➠ ɑ + β = -3 - 2➠ ɑ + β = -5Hence the sum of zeros (ɑ + β) of the given polynomial is -5 |
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