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Sati [7]
4 years ago
8

Which of the following is the correct factorization of the polynomial below? x^3-15

Mathematics
2 answers:
stealth61 [152]4 years ago
5 0

Answer with explanation:

Use the identity to solve the problem

a^3 -b^3=(a-b)(a^2+ab+b^2)\\\\x^3-15=x^3-(15^{\frac{1}{3})^3}\\\\=[x-(15)^{\frac{1}{3}}][x^2+(15)^{\frac{1}{3}}x+((15)^{\frac{1}{3}})^{2}]\\\\=[x-(15)^{\frac{1}{3}}][x^2+(15)^{\frac{1}{3}}x+(15)^{\frac{2}{3}}]  

Anuta_ua [19.1K]4 years ago
4 0
The polynomial is irreducible.
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WILLING TO HELP SOMEONE OUT?? GOOD AT ALGEBRA 2?? THEN COME TO THIS QUESTION AND ANSWER IT!! ALL HELP IS APPRECIATED.
Anna71 [15]
A = m^2 - 9m
B = 1 - 9m^2

2A - B
2(m^2 - 9m) - 1 - 9m^2
2m^2 - 18m - 1 - 9m^2
Combine liked terms
-7m^2 - 18m - 1

Answer:
-7m^2 - 18m - 1

(Hopefully this is what you’re asking for)
8 0
4 years ago
Read 2 more answers
Given the graph of a function f. Identify the function by name. Then Graph, state domain & range in set notation:A) f(x) +2B
WARRIOR [948]

The function in the graph has the name of square function.

The domain of a function is all values of x the function can have. The domain of this function is all real numbers:

\mleft\lbrace x\in\R\mright\rbrace

The range of a function is all values of y the function can have. The range of this function is all positive numbers, including zero:

\mleft\lbrace y\in\R\mright|y\ge0\}

In order to graph f(x) + 2, we just need to translate the graph 2 units up. To find the new points, we need to increase all y-coordinates by 2:

(-2, 6), (-1, 3), (0, 2), (1, 3), (2, 6)

Domain: {x ∈ ℝ}

Range: {y ∈ ℝ | y ≥ 2}

Then, in order to graph f(x) - 2, we just need to translate the graph 2 units down. To find the new points, we need to decrease all y-coordinates by 2:

(-2, 2), (-1, -1), (0, -2), (1, -1), (2, 2)

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4 0
1 year ago
What is the following product? Assume x20 and 20.
Lunna [17]

second answer choice

refer to photo for work

3 0
2 years ago
2.88888 as a fraction
joja [24]
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8 0
3 years ago
The cost of renting a canoe to use on River Y costs ​$41. The cost of renting a canoe to use on River Z costs ​$4 per hour plus
umka2103 [35]

Answer:

  see the attachment

  7 hours

Step-by-step explanation:

The cost for River Y is a constant (not dependent upon hours), so is c = 41.

The cost for River Z is the sum of the deposit and the hourly cost, so is ...

  c = 13+4n

These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.

6 0
3 years ago
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