Factor the expression by taking out the GCF. 3x - 9x3

Mathematics

1 answer:

Sholpan [36]3 years ago

4 0

Consider the expression $3x-9x^3.$ It consists of two terms:

$3x=3\cdot x$

and

$-9x^3=-3\cdot 3\cdot x\cdot x\cdot x.$

The common factors in these terms are $3$ and $x.$ Then

$GCF(3x,-9x^3)=3x.$

Taking out the GCF, you obtain

$3x-9x^3=3x(1-3x^2).$

Answer: correct choice is B.

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First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

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Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

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