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2 years ago

What is the complete factorization of the polynomial below x^3+2x^2+4x+8

Mathematics

2 answers:

vagabundo [1.1K]2 years ago

3 0

Answer:

c) (x + 2)(x + 2i)(x - 2i)

Step-by-step explanation:

x^3 + 2x^2 + 4x + 8

= (x^3 + 2x^2) + (4x + 8)

= x^2( x + 2) + 4(x + 2)

= (x + 2)(x^2 + 4)

= (x + 2)(x^2 - 4i^2) ---------------------------->(i^2 = -1)

= (x + 2)(x + 2i)(x - 2i)

Ludmilka [50]2 years ago

3 0

Answer:

It is C.

Step-by-step explanation:

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The idea length of a particular metal rod is 35.5cm. The measure length may vary from the ideal length by at most 0.035cm. What

lianna [129]

Answer:

The range is 35.465 to 35.535

Step-by-step explanation:

Subtract 0.035 from 35.5 then add 0.035 to 35.5.

5 0

2 years ago

How do i round 186.282?

adoni [48]

Well, first you need to decide what place you want to round it TO.

Example: Round it to the nearest hundredth:

The next larger hundredth is 186.29 .
The next smaller hundredth is 186.28 .
Now look at it.
186.282 is closer to 186.28 than it is to 186.29 .
So the nearest hundredth is 186.28 .

-- When 186.282 is rounded to the nearest hundredth, it becomes 186.28 .

Similarly . . .
-- When 186.282 is rounded to the nearest tenth, it becomes 186.3 .
-- When 186.282 is rounded to the nearest whole number, it becomes 186 .
-- When 186.282 is rounded to the nearest ten, it becomes 190 .
-- When 186.282 is rounded to the nearest hundred, it becomes 200 .
-- When 186.282 is rounded to the nearest thousand or anything larger,
it becomes zero.

I'm curious . . . where did this number come from ?

It happens to be one thousandth of the speed of light, in miles per hour.

Did it come up in science class, or did a science geek use it for
one of the problems in math ?

6 0

2 years ago

Read 2 more answers

THE FOLLOWING QUESTIONS ARE SUPER EASY - NO NEED TO SOLVE ALL: JUST CHOOSE ONE!

hichkok12 [17]

Step-by-step explanation:

the answer is in the picture

6 0

3 years ago

Given a force of 10N and an acceleration of 5m/s? What is the mass?

likoan [24]

Answer:

Step-by-step explanation:

Mass is a body of matter without definite shape.

Use the Newton's second law of motion formula.

Note: $\longrightarrow \sf{F=M*A}$

<u>Given:</u>

Force = 10N
Acceleration = 5m/s

First thing you do is divide.

10/5=2

= 2kg (mass)

Therefore, the final answer is 2kg (mass).

I hope this helps, let me know if you have any questions.

To learn more about the mass:

brainly.com/question/7580108

5 0

1 year ago

Find the standard equation of the parabola that satisfies the given conditions. Also, find the length of the latus rectum of eac

lakkis [162]

Answer:

The standard parabola

y² = -18 x +27

Length of Latus rectum = 4 a = 18

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given focus : (-3 ,0) ,directrix : x=6

Let P(x₁ , y₁) be the point on parabola

PM perpendicular to the the directrix L

SP² = PM²

(x₁ +3)²+(y₁-0)² = $(\frac{x_{1}-6 }{\sqrt{1} } )^{2}$

x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36

y₁² = -18 x₁ +36 -9

y₁² = -18 x₁ +27

The standard parabola

y² = -18 x +27

Length of Latus rectum = 4 a = 4 (18/4) = 18

5 0

3 years ago