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Zanzabum
3 years ago
7

Find the number with the given prime factorization.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0
The answer to #5 is 1540
The answer to #6 is 17017
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Which of the following describes the roots of the polynomial function fx) = (x+ 2)2(x-4)(x+1)3?
kolezko [41]

The roots are:

\bullet \ x=-2 \ with \ multiplicity \ of \ 2 \\ \\ \bullet \ x=4 \\ \\ \bullet \ x=-1 \ with \ multiplicity \ of \ 3

<h2>Explanation:</h2>

We have the following polynomial function:

f(x) = (x+2)^2(x-4)(x+1)^3

The roots of any polynomial functions are those x-values at which the function equals zero. So, in order to find the roots for this function, we set f(x)=0. So:

(x+2)^2(x-4)(x+1)^3=0 \\ \\ \\ So \ we \ have \ the \ product \ of \ some \ factors \ then: \\ \\ The \ roots \ are: \\ \\ \\ \bullet \ x=-2 \ with \ multiplicity \ of \ 2 \\ \\ \bullet \ x=4 \\ \\ \bullet \ x=-1 \ with \ multiplicity \ of \ 3

Finally, the graph of this function is shown below and the roots are also indicated.

<h2>Learn more:</h2>

Parabola: brainly.com/question/10525169

#LearnWithBrainly

5 0
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