Sum of the zeros for
X 2+ 7 x + 6
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x²+7x+6=0
here zeros means roots
x²+6x+x+6=0
x(x+6)+1(x+6)=0
(x+1)(x+6)=0
x=-1,-6
sum of roots
-1-6=-7
Answered by
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Answer:
Step-by-step explanation:
x² + 7x + 6
we know that 1 x 6 = 6 and 1 + 6 = 7
so : x² + 1x + 6x + 6
x (x + 1 ) + 6x ( x + 1 )
(x + 1) (x + 6)
x = -1 and x = -6
(ANOTHER METHOD) - BY USING QUADRATIC FORMULA
-b ± √b² - 4ac
2a
here b = 7 , a = 1 , c = 6
-7±√7² - 4 (1) (6)
2(1)
-7±√49 - 24
2
-7±√25
2
-7±5
2
-7 + 5 and - 7 - 5
2 2
-2/2 and -12/2
x = - 1 and - 6
SO THE ZEROES OF THE POLYNOMIAL x² + 7x + 6 IS - 1 AND - 6
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