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love history [14]
3 years ago
10

Which of the following sets contains all roots of the polynomial f(x)=2x^3+3x^2-3x-2?

Mathematics
1 answer:
svlad2 [7]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Given

f(x) = 2x³ + 3x² - 3x - 2

Note that

f(1) = 2 + 3 - 3 - 2 = 0 , thus

(x - 1) is a factor

Dividing f(x) by (x - 1) gives

f(x) = (x - 1)(2x² + 5x + 2) = (x - 1)(x + 2)(2x + 1)

To find the roots equate f(x) to zero, that is

(x - 1)(x + 2)(2x + 1) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x + 2 = 0 ⇒ x = - 2

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \frac{1}{2}

The solution set is therefore

{ - 2, - \frac{1}{2}, 1 } → C

You might be interested in
A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students
SVEN [57.7K]

Answer:

<em>800÷100 = 8</em>

<em>65×8=520</em>

\frac{520}{800}

another way:

<em>100%-65%=35%</em>

<em>35% = 0.35</em>

<em>800×0.35= 280</em>

<em>800-280=</em>520

another way:

<em>65% = 0.65</em>

<em>0.65×800=</em>520

Hope it helped! :)

6 0
2 years ago
Please help me What is the volume of the prism? Captionless Image 96 cubic cm 14 cubic cm 48 cubic cm None of the above
Vladimir79 [104]

Answer:

64,512

Step-by-step explanation:

First, I multiplied 96 and 14, and I got 1,344.

Then, I multiplied 1,344 and 48, I got 64,512.

3 0
3 years ago
The answer and how you got it
mart [117]
The answer is 12
12-(5+3)=4
4+8=12
8 0
3 years ago
0.86 is 3.06 % of what number (Round to the nearest hundredth.)
polet [3.4K]

Answer:

Let the number be x

3.06% = 0.0306

The above statement is written as

0.0306x = 0.86

Divide both sides by 0.0306

x = 0.86/0.0306

<h2>x = 28.10</h2>

Hope this helps you

4 0
3 years ago
HELP DUE IN 15 MINS!<br><br> x = ??
bija089 [108]

Answer:

Step-by-step explanation:

This arc has the same measurement as the central angle. The central angle is LON where O is the center of the circle.

Point M forms an angle that is 1/2 the central angle when M is on the circumference and opposite the 150o angle. Therefore M is the vertex of a 75 degree angle.

76x - 1 = 75       Add 1 to both sides.

76x = 76            Divide by 76

x = 1

6 0
3 years ago
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