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pogonyaev
1 year ago
15

Please Help!!!Use division to determine if the binomial is a factor. Show all work (x^3+7x^2+16x+12) ; (x+2)

Mathematics
1 answer:
irga5000 [103]1 year ago
5 0

Clearly, we can see that x+2 is a factor of the given polynomial.

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Please simplify n-2/n^2-4
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Answer:

\frac{1}{ {n}   +   {2}}

Step-by-step explanation:

\frac{n - 2}{ {n}^{2}  - 4}  \\  \\  =  \frac{n - 2}{ {n}^{2}  -  {2}^{2} } \\  \\  = \frac{n - 2}{ ({n}   +   {2})({n}  -  {2})} \\  \\  =  \frac{1}{ {n}   +   {2}} \\

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85/5

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\large\boxed{\dfrac{x+2}{x^2-6x-16}\div\dfrac{1}{9x}=\dfrac{9x}{x-8}}

Step-by-step explanation:

\dfrac{x+2}{x^2-6x-16}\div\dfrac{1}{9x}=\dfrac{x+2}{x^2+2x-8x-16}\cdot\dfrac{9x}{1}\\\\=\dfrac{(x+2)(9x)}{x(x+2)-8(x+2)}=\dfrac{(x+2)(9x)}{(x+2)(x-8)}\\\\\text{cancel}\ (x+2)\\\\=\dfrac{9x}{x-8}

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