Help asap pleeeas!Given the polynomial 8x3 + 6x2 − 32x − 24, what is the value of the constant 'k' in the factored form?

8x3 + 6x2 − 32x − 24 = 2(x + k)(x − k)(4x + 3)

a. 4
b.3
c. 2
d. 1

Answers

Answer 1
Answer:

The value of the constant 'k' in the factored form is 2.

The correct answer is an option (C)

What is polynomial?

"It is a mathematical expression that contains two or more algebraic terms that are added, subtracted, or multiplied."

What is factorization of polynomials?

"It means decomposing the given polynomial into a product of two or more polynomials "

For given question,

We have been given the factored form of polynomial.

8x^3 + 6x^2 - 32x - 24 = 2(x + k)(x - k)(4x + 3)

We can write the given polynomial as,

8x^3 + 6x^2 - 32x - 24 \n\n=2(4x^3+3x^2-16x-12)\n\n=2(x^2-4)(4x+3)\n\n=2(x^2-2^2)(4x+3)\n\n=2(x+2)(x-2)(4x+3)

This means, the value of k is 2.

Therefore, the value of the constant 'k' in the factored form is 2.

The correct answer is an option (C)

Learn more about the factorization of polynomial here:

brainly.com/question/26354419

#SPJ2

Answer 2
Answer: The answer to this question is C.2 I think

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What is the partial product for 42x25

Answers

I think it will be 1,050 because I multiply and that is what I got for my answer

What’s 75% as a decimal

Answers

Answer:

0.75 is the answer because it is 75% out of 100%

So you move the decimal to the left twice and the answer is 0.75.


Hope this helps.


Have a great day!~



p\%=(p)/(100)\n\n75\%=(75)/(100)=0.75\n\nAnswer:\ \boxed{75\%=0.75}

A person lives 78 years. Does a average person live for at least 1,000,000 minutes

Answers

1,000,000 minutes
Divide that by 60 to get 16666.6, thats it in hours
Divide that by 24 to get 694.4, thats the number of days
Divide that by 365 to get about 1.9. Thats 1,000,000 minutes in years.
So yes, the average person lives for at least 1,000,000 minutes, in fact they live for a lot more than that!
One year = 365 days. If the average person lives 78 years then you would multiply that times 365. 

365 times 78 equals
 28470

It takes 8 people to pull a 16 ton truck. How many people would it take take to pull a 60 ton truck? I got 30 people am I right? If not can you tell me the answer with work? (:

Answers

8 people pull a 16 ton truck
we can make that a proportion
8:16 
which can be reduced to 
1:2 

that means 1 person can pull 2 tons

to pull a 60 ton truck, you would have a proportion of
x: 60 = 1:2

cross multiply and you get

60 = 2x
x = 30

yes, you're right!

PLEASE HELP AND ANSWER RIGHT AWAY! I'M TERRIBLE AT MATH!Jeremy ate 1 1/2 tacos at the birthday party. Cecilia ate 2 1/2 times as much as Jeremy.

How many tacos did Cecilia eat?
Express your answer in simplest form.

Answers

1 (1)/(2) = (3)/(2)\n\n2 (1)/(2) = (5)/(2)\n\n\n\n(3)/(2) * (5)/(2) = (3* 5)/(2* 2) = \huge{\boxed{(15)/(4)=3(3)/(4)}}

Order from least to greatest: 2/3, 25%, 3/5, 0.40

Answers

Answer:

25%,0.40,(3)/(5), (2)/(3)

Step-by-step explanation:

(2)/(3), 25%, (3)/(5), 0.40

25% , to remove % we divide by 100

25% is 25/100 = 0.25

(2)/(3) is equal to 0.666

(3)/(5) is equal to 0.6

We write the numbers in decimal form

0.666, 0.25, 0.6, 0.40

Now we arrange the numbers in order

0.25, 0.40, 0.6, 0.666

So the order becomes

25%,0.40,(3)/(5), (2)/(3)

Converting everything into percents make it a lot easier.
2/3 = 67%
25% = 25%
3/5 = 60%
0.40 = 40%

Now you can order away!
25%, 0.40, 3/5, 2/3