What are the zeros of the polynomial function: f(x) = x3 + 10x2 + 24x ?

a.) –6, 0, 4
b.) 6, 0, –4
c.)–6, 0, –4
d.) 6, 0, 4

Question

05-09-2016
Mathematics

contestada

What are the zeros of the polynomial function: f(x) = x3 + 10x2 + 24x ?

a.) –6, 0, 4
b.) 6, 0, –4
c.)–6, 0, –4
d.) 6, 0, 4

Respuesta :

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misscaffeine misscaffeine · Answer 1 · 2016-09-13T19:11:56+02:00

misscaffeine misscaffeine

13-09-2016

The correct answer is: c.)–6, 0, –4

This is due to the following:

f(x) = 0

[tex]x^{3}+10x^{2}+24x = 0 [/tex]

[tex]x · (x^{2} + 10x + 24) = 0 [/tex]

[tex]x^{2} + 10x - 24 = 0 [/tex]

[tex]x = \frac{- 10 +- \sqrt{10^{2}- 4 x 1 x 24}} {2}[/tex]

[tex]x = \frac{- 10 + 2} {2} = -4[/tex]

[tex]x = \frac{- 10 - 2} {2} = -6[/tex]

[tex]x = -6[/tex]

[tex]x = -4[/tex]

[tex]x = 0[/tex]

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Hussain514 Hussain514 · Answer 2 · 2016-09-15T11:25:34+02:00

Hussain514 Hussain514

15-09-2016

f(x) = x^3 –+10x^2 + 24x
x^3+ 10x^2 + 24x = 0
x(x^2+10x+24) = 0
x(x+4)(x+6) = 0
x= 0 or x = -4 or x =- 6
so the correct answer is C
hope it helps

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What are the zeros of the polynomial function: f(x) = x3 + 10x2 + 24x ? a.) –6, 0, 4 b.) 6, 0, –4 c.)–6, 0, –4 d.) 6, 0, 4

Respuesta :

Otras preguntas

What are the zeros of the polynomial function: f(x) = x3 + 10x2 + 24x ?

a.) –6, 0, 4
b.) 6, 0, –4
c.)–6, 0, –4
d.) 6, 0, 4