What is the sum of zeros of the polynomial 3x²-x -4.
please answer as fast as possible!!
thankyou
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What is the sum of zeros of the polynomial 3x²-x -4.
please answer as fast as possible!!
thankyou
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Answer:
-1 and 4/3
Step-by-step explanation:
3x²-x-4
3x²-4x+3x-4=0
X(3x-4)+1(3x-4)=0
(X+1)(3x-4)=0
X+1=0 and 3x-4=0
X= -1 and X=4/3
Step-by-step explanation:
[tex]p(x) = 3x²-x-4[/tex]
[tex] let \: the \: zeros \: of \: p(x) \: be \: α \: \& \: β[/tex].
[tex]Now, \: α+β = \frac{- \: coefficient \: of \: x}{coefficient \: of \: x²}[/tex]
[tex]\implies α+β = \frac{-(-1)}{3} = \frac{1}{3}[/tex]