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3 years ago

Which of the following represents the set of possible rational roots for the polynomial shown below 2x^3+5x^2-8x-20=0

Mathematics

2 answers:

Law Incorporation [45]3 years ago

5 0

Answer:

apex +/- 1/2 +/-1 +/-2 +/-5/2 +/-4 +/-5 +/-10 +/-20

Step-by-step explanation:

olya-2409 [2.1K]3 years ago

3 0

The questioner wants us to list all possible roots by applying the Rational Roots theorem

factors of constant term (-20) = +/- 1, +/-2, +/-5, +/-10, +/-20 WE call these factors p.

factors of leading coefficient (2) = +/- 1, +/-2 (call these q)

then possible roots are p/q = +/-1/1, +/- 1/2 , +/- 5/1 , +/- 5/2 and so on.

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Answer:

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Step-by-step explanation:

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Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

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and the fraction is transformed into

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Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

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3 years ago

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