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MAXImum [283]
3 years ago
10

Which polynomial can be factored using the binomial theorem?

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

I think the one you want is the last one, but I've never called it that.

21x^2 + 147x + x^3 + 343

x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)

21x(x + 7) + (x + 7)(x^2 - 7x + 49)

(x + 7) [ 21x - 7x + x^2 + 49)

(x + 7) [x^2 + 14x + 49]

(x + 7) ( x+7)^2

(x + 7)^3

It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.

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Could anyone Help?<br> Please
GrogVix [38]

Answer:

a.2^(a+b+c)

b.2^(a+b+a-b)=2^(2a)or 4^a

c.2^(a+b+c)/2^(a+b)=2^(a+b+c-a-b)=2^c

7 0
3 years ago
Which of the following is the correct usage of the distributive property of the expression: 3(x+1) ?
Alchen [17]

Answer:  =3x+3

Step-by-step explanation:

3\left(x+1\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac

3\left(x+1\right)=3x+3\cdot \:1

=3x+3\cdot \:1

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3

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3 0
3 years ago
6) Heather won 45 lollipops playing the bean
Tpy6a [65]

Answer:

14

Step-by-step explanation:

45/3=15

She has 3 left so that means she has 14 friends

6 0
3 years ago
Read 2 more answers
Trudy invested $3,200 into an account that will increase in value by 2.5% each year. Write an exponential function to model the
miskamm [114]

Answer:

Example: Suppose you give $100 to a bank which pays you 10% compound interest at the end of every year. After one year you will have $100 + 10% = $110, and after two years you will have $110 + 10% = $121.

compound interest image

Problem:

If you deposit $4500 into an account paying 7% annual interest compounded semi anualy , how much money will be in the account after 9 years?

Result:

The amount is $8358.7 and the interest is $3858.7.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

After plugging the given information we have

STEP 2: To find interest we use formula , since 8358.7  P =  we have:

3858.7

Step-by-step explanation:

3 0
3 years ago
How many 5-digit numbers can be formed out of the digits 0, 1, 2, 3, 3, 4,
ioda
1.) 14320

2.) 32041

3.) 02413

4.) 30214

5.) 40321

6.) 21340

7.) 40132

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9.) 31240

10.) 21430

11.) 40312

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13.) 02130

14.) 34321

15.) 41203

16.) 30124

17.) 24310

18.) 33412

19.) 02143

20.) 43102

I hope you can find more
4 0
3 years ago
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