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kow [346]
3 years ago
9

Fire Warden Armband

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0
It is Fire warden caps.
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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x
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GIVEN:

We are given the following polynomial;

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Step-by-step explanation;

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\begin{gathered} x^2(x+1)+4(x+1) \\  \\ (x^2+4)(x+1) \end{gathered}

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\begin{gathered} x^2+4=0 \\  \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\  \\ x^2=-4 \\  \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\  \\ x=\pm\sqrt{-4} \\  \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\  \\ x=\pm2i \end{gathered}

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ANSWER:

(x+1)(x+2i)(x-2i)

Option C is the correct answer.

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