Question

check whether 1and3 are zeroes of the polynomial x^-3x^+2​

Answer 1

Answer:

your answer is

Step-by-step explanation:

Answer

Q) x3+3x2−x−3

Let zeros be α=1, β=−1, γ=−3

a) α3+3α2−α−3

1+3−1−3=0

α is a zero

b) β3+3β2−β−3

−1+3+1−3=0

β is a zero

c) γ3+3γ2−γ−3

−27+27+3−3−=0

γ is a zero

We know that

1)α+β+γ=a−b

LHS=1−1−3=−3

RHS=1−3

=−3

LHS=RHS

2)αβ+βα+αγ=ac

LHS=−1+3−3

=−1

RHS=−1

LHS=RHS

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