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andriy [413]
3 years ago
5

Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

Mathematics
2 answers:
stepan [7]3 years ago
5 0

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the rest.

The attached figure shows the quotient given by:

x ^ 3 + x ^ 2 + x + 1

Answer:

Quotient: x ^ 3 + x ^ 2 + x + 1

See attached image

ivanzaharov [21]3 years ago
3 0

Answer:

Quotient is: x^3+x^2+x+1  

Step-by-step explanation:

We need to solve (x^4-1) ÷  (x-1) using synthetic division.

In synthetic division we write the coefficients in decreasing order of their powers. We have x^4-1 that can be written as: 1x^4 + 0x^3 + 0x^2 + 0x -1

so our coefficients will be

1 0 0 0 -1

and for synthetic division, we take the constant term of divisor and change its sign.

We have x-1, constant term -1 so, our value will be 1.

The division is attached in the figure below.

Quotient is: x^3+x^2+x+1  

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Answer:

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Order these from least to greatest 69/10 , 6.99, 7.927, 6 8/9
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2 years ago
Carson is going on a work trip. He will get reimbursed for his expenses for
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The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Carson is going on a work trip. He will get reimbursed for his expenses for driving his own car.

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R = 30 + 1.25m

The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.

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8 0
2 years ago
for her phone service, ann pays a monthly fee offor her phone service and pays a monthly fee of $18 and she pays an additional $
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Theo had a balance of -$4 in his savings account. after making a deposit he has $25 in his account. what is the overall change t
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