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kari74 [83]
3 years ago
8

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

Mathematics
2 answers:
vagabundo [1.1K]3 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]3 years ago
3 0

Answer:

It is C.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

4/10=.40

1625x.40=650

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3 years ago
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Mary throws a plastic disc to her friend, which her friend catches six seconds after Mary throws it. The table shows the height
natta225 [31]
Unfortunately, there is no given table. However, assuming no air resistance, the projectile moves in constant acceleration in the y-axis, while constant velocity in the x-axis. If the total time of flight is 6 seconds, then at 3 seconds the reaches its maximum height. Also, there is no given initial velocity, which means any useful calculation is impossible.
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What is the LCM of 5 and 6?
Lapatulllka [165]

Answer: 30

Explanation: To find the least common multiple of <em>lcm</em> of 5 and 6, we begin by listing the first few multiples of each number.

<em><u>Multiples of 5</u></em>

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

4 x 5 = 20

5 x 5 = 25

6 x 5 = 30

Notice that we skipped 0 x 6 in our list of multiples. That's because 0 x 6 is 0 and our least common multiple can't be 0.

Next we list the multiples of 6. When we list the multiples of 6, it's a good idea to keep an eye on the list of multiples for 6 so that we know when we have found a least common multiple.

<u><em>Multiples of 6</em></u>

1 x 6 = 6

2 x 6 = 12

3 x 6 = 18

4 x 6 = 24

5 x 6 = 30

Notice that 30 appears in both lists so we can stop here.

This means that the least common multiple of 5 and 6 is 30.

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4 years ago
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Answer:

∠CDE = 14°

Step-by-step explanation:

Since CE is extended to point F then ∠FED is an external angle of the triangle

The external angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

∠FED = ∠ECD + ∠CDE ← substitute values

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2x + 5 = 17 ( subtract 5 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Hence

∠CDE = x + 8 = 6 + 8 = 14°

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3 years ago
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