Question

if alpha, beta y the zeros of a cubic polynomial "x³+ 5x²+4" the value of alpha,beta y is










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Answer 1

Answer:

Step-by-step explanation:

If alpha, beta, gamma are zeros of cubic polynomial x^3 + 5x - 2, what is the value of alpha^3 + beta^3 + gamma^3?

x³ + 5x – 2

a=1, b=0, c=5, d= - 2

Comparing we get

α+ β+γ = -b/a=0

αβ + αγ+β γ=c/a=5

αβγ=-d/a = 2

Since α,β,γ are zeroes of given equation

Answer 2

Answerx

3

++4x

2

−5x−2

The expression is in the form ax

3

+bx

2

+cx+d,then

a=1,b=4,c=−5,d=−2

∴α+β+γ=

a

−b

=

1

−4

=−4

αβ+βγ+γα=

a

c

=

1

−5

=−5

αβγ=

a

−d

=

1

−(−2)

=2