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raketka [301]
3 years ago
12

How do you factor this expression: x^3 + 9x^2 + 27x + 27. Thanks! :)

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0

Answer:

(x + 3)³

Step-by-step explanation:

Use rational root test to check for possible rational roots.

Factors of 27 are 1, 3, 9, and 27.

Factors of 1 are 1.

Possible rational roots are:

±1/1, ±3/1, ±9/1, ±27/1

Checking each one, we find that -3 is a root.  So x + 3 is a factor.

Knowing that, we can use grouping to factor.

x³ + 9x² + 27x + 27

x³ + 9x² + 18x + 9x + 27

x (x² + 9x + 18) + 9 (x + 3)

x (x + 6) (x + 3) + 9 (x + 3)

(x + 3) (x (x + 6) + 9)

(x + 3) (x² + 6x + 9)

(x + 3) (x + 3)²

(x + 3)³

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Answer:

x = 23

Step-by-step explanation:

Isolate x.

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3 years ago
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If N = 9 ft, Q = 2 ft, R = 4 ft, S = 9 ft, and T = 3 ft, what is the perimeter of the object?
lana66690 [7]

The perimeter of the object NQRST will be 27 ft.

<h3>What is a regular figure and its perimeter?</h3>

A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).

Suppose that length of each side of that figure be of u units, then we have the perimeter as: A + B + C + D units.

Its the sum of length of the sides used to made the given figure.

Given; If N = 9 ft, Q = 2 ft, R = 4 ft, S = 9 ft, and T = 3 ft, then we need to find the perimeter of the object.

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N + Q +R + S +T

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Therefore, the perimeter of the object NQRST will be 27 ft.

Learn more about perimeter here:

brainly.com/question/10466285

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Answer:

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Step-by-step explanation:

We know that the pencils were divided into 8 groups of 2.

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Then the operation of dividing 16 pencils into 8 groups is written as:

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16/8 = 2.

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Answer:

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