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JulsSmile [24]
3 years ago
11

Which statement justifies that x2 + 3x − 1 multiplied by 2x2 − 2x + 1 obeys the closure property of multiplication?

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
7 0
(x² + 3x - 1)(2x² - 2x + 1)

x²(2x² - 2x + 1) + 3x(2x² -2x + 1) -1(2x² - 2x + 1)
2x^4 - 2x³ + x² + 6x³ - 6x² + 3x - 2x² + 2x - 1
2x^4 - 2x³ + 6x³ + x² - 6x² - 2x² + 3x + 2x - 1
2x^4 + 4x³ - 7x² + 5x - 1

<span>(D)The result 2x4 + 4x3 − 7x2 + 5x − 1 is a polynomial.</span>
Mandarinka [93]3 years ago
6 0

Answer:(D)The result 2x4 + 4x3 − 7x2 + 5x − 1 is a polynomial.

Step-by-step explanation:

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8 0
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erica [24]

4-p=-4p+4

4-p+4p-4

3p

Step-by-step explanation:

that iw the answer

7 0
2 years ago
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Multiply (2 -10i) (-5 + 3i) Show each step for credit!
jonny [76]

Answer:

The answer is

<h2>20 + 56i</h2>

Step-by-step explanation:

(2 -10i) (-5 + 3i)

Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>

That's

2(-5) + 2(3i) - 10i(-5) - 10i(3i)

<u>Multiply the numbers and simplify</u>

We have

- 10 + 6i + 50i - 30i²

From the rules of imaginary numbers

<h3>i² = - 1</h3>

So we have

- 10 + 56i - 30(- 1)

- 10 + 56i + 30

Simplify

30 - 10 + 56i

We have the final answer as

<h3>20 + 56i</h3>

Hope this helps you

5 0
2 years ago
Two numbers have a sum of -15 and a<br> product of -100. What are the numbers?
Bumek [7]

Answer:

the numbers are -20 and 5

Step-by-step explanation:

4 0
2 years ago
the volumes of two spheres are 729 in3 and 27 in3. what is the ratio of their radii, rounded to the nearest whole number?
MaRussiya [10]
The volumes of spheres are proportional to R³. So their 'R's
are proportional to ∛their volumes.

(729/ 27) = 27

∛27 = <u>exactly 3</u> .  No rounding required.
5 0
3 years ago
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