If a cubic polynomial with the sum of its zeros sum of the products and its zeroes taken two at a time and product of its zeros as -2,-5 and -11 respectively then the cubic polynomial is
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13
Answer:
f(x)=x³+2x²-5x+11
Step-by-step explanation:
Let the zeros are α,β,and γ
given
α+β+γ=-2
αβ+βγ+yα=-5
αβγ=-11
cubic polynomial with zeros α,β,and γ is
x³-(α+β+γ)x²+(αβ+βγ+yα)x-αβγ
=x³-(-2)x²+(-5)x-(-11)
f(x)=x³+2x²-5x+11
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Step-by-step explanation:
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