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pantera1 [17]
3 years ago
6

Is the decimal for 4/3 a repeating decimal? Explain

Mathematics
2 answers:
Butoxors [25]3 years ago
4 0

Answer:

Step-by-step explanation:

Divide 4 by 3 and you will get 1333333333... as an answer.It is a repeating decimal . Place a line over the second 3  to show that it is a repeating decimal.

riadik2000 [5.3K]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

If you divide 4 by 3 you get 1.3333333333333. It is a repeating decimal because the 3s repeat forever.

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3 years ago
What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

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3 years ago
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