Sum of zeros of a polynomial X³-2x²+3x+4
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P(x)=X³-2x²+3x+4
Relationship between zeroes and coefficients
Sum of zeroes=-(coefficient of x^2)/coefficient of x^2=-(-2)/1=2
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Answer:
Sum of the zeroes of polynomial is 2
Step-by-step explanation:
Let α,β,γ be the roots of the given polynomial
Therefore
α+β+γ= (-b/a)
So α+β+γ= -(-2/1)
= 2
Where a,b,c are the coefficients of the polynomial
So the sum of the zeroes of the polynomial is 2
Hope it helps
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