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Fittoniya [83]
2 years ago
15

K(x) = x^3 +2x^2-x-2 find all roots

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
3 0
<h2>The all roots are equation are 1, - 1 and - 2.</h2>

Step-by-step explanation:

The given cubic polynomial:

k(x) = x^3 + 2x^2 - x -2

To find, the all roots are x^3 + 2x^2 - x -2 = ?

∴ k(x) = x^3 + 2x^2 - x -2

⇒ x^3 + 2x^2 - x -2 = 0

⇒ x^2(x + 2) - 1(x + 2) = 0

⇒ (x^2 - 1)(x + 2) = 0

⇒ x^2 - 1 = 0 and x + 2 = 0

⇒ x^2 - 1 = 0

⇒ x^2 = 1

⇒ x = ± 1 = 1, - 1

or, x + 2 = 0

⇒ x = - 2

Thus, the all roots are equation are 1, - 1 and - 2.

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If a student receives 86 text messages during this class, how many text messages did he or she receive per minute?
frozen [14]

Answer:

how long is the class

we need to know how long the class is to help you figure it out

7 0
3 years ago
Not good with factoring could use a hand.
MrRa [10]

The only factoring you need to do is already done for you:

<em>x</em>² + <em>x</em> - 12 = (<em>x</em> + 4) (<em>x</em> - 3)

What you're asked to do is decompose

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12)

into partial fractions, i.e. find <em>a</em> and <em>b</em> such that

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = <em>a</em> / (<em>x</em> + 4) + <em>b</em> / (<em>x</em> - 3)

Multiply both sides by <em>x</em>² + <em>x</em> - 12 :

3<em>x</em> - 4 = <em>a</em> (<em>x</em> - 3) + <em>b</em> (<em>x</em> + 4)

3<em>x</em> - 4 = (<em>a</em> + <em>b</em>) <em>x</em> + (-3<em>a</em> + 4<em>b</em>)

So we have

<em>a</em> + <em>b</em> = 3

-3<em>a</em> + 4<em>b</em> = -4

and solving this system gives

<em>a</em> = 16/7 and <em>b</em> = 5/7

so you should submit the numbers in bold:

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = 16 / (7 (<em>x</em> + 4)) + 5 / (7 (<em>x</em> - 3))

6 0
2 years ago
Help me please number 3
asambeis [7]

Answer:

c = 26

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

3 0
2 years ago
15 3/8+756-<br> What is the answer
evablogger [386]

Answer: 771 3/8

Step-by-step explanation:

15 3/8+756

we can apply the assosiative propery and do 15+756+3/8

so 15+756= 771

so finally you do 771+3/8=771 3/8

8 0
3 years ago
Helppppppp I am so dumb sorry
maria [59]

Answer: I think the asnwer is c

Step-by-step explanation:

I suggest this because when your looking at the two different triangles your looking at the sides and the whole shape

6 0
3 years ago
Read 2 more answers
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