Respuesta :

gmany

Answer:

x³ + 8x² - 3x - 24 = (x + 8)(x - √3)(x + √3)

Step-by-step explanation:

[tex]x^3+8x^2-3x-24\\\\=(x^2)(x)+(x^2)(8)+(-3)(x)+(-3)(8)\qquad\text{distribute}\\\\=x^2(x+8)-3(x+8)\\\\=(x+8)(x^2-3)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+8)(x^2-(\sqrt3)^2)\\\\=(x+8)(x-\sqrt3)(x+\sqrt3)[/tex]

PunchTheInternet

Hey love! <3

Answer: (x + 8)(x^2 − 3), or D on your test.

Step-by-step explanation:

Well let's see, your given equation is x³ + 8x² - 3x - 24

To solve, we have to find the GCF of the equation. Let's begin!

x³ + 8x² - 3x - 24

x²(x + 8) -3(x + 8)

(x + 8) (x² - 3)

So that means the factor of the given equation is (x + 8) (x² - 3)

Hope this helps you out! (⌒o⌒) Sincerely, Kelsey from Brainly.

~ #LearnWithBrainly ~

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