What is x^4-4x^3-32 in factored form

1 answer:

3 0

Factoring: x4-4x3+8x-32

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 8x-32
Group 2: -4x3+x4

Pull out from each group separately :

Group 1: (x-4) • (8)
Group 2: (x-4) • (x3)
-------------------
Add up the two groups :
(x-4) • (x3+8)

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Find AD. Show how you got your answer.

stealth61 [152]

Notice the picture below
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now, the base is 8, AD is bisecting that too, to 4 and 4

now, using the Law of Sines

$\bf \textit{Law of sines}
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\cfrac{sin(18^o)}{4}=\cfrac{sin(72^o)}{\overline{AD}}\implies \overline{AD}=\cfrac{4\cdot sin(72^o)}{sin(18^o)}$

keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode

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Express 10 2/3 in simplest radical form

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