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Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?

2 Answers

2 votes

Answer:

c

Explanation:

User Smerity
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7.4k points
0 votes

Answer:

x^2 + x + 1 + (2/ x -1)

Explanation:

Use the divisor and find x :

x - 1 = 0 **add 1

x= 1

Now we will use the 1 in dividing:

take the coefficients from in front of all terms

** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1| 1 0 0 1 **bring the first number down

____________

1 **multiply the boxed number by the first number and add it to the second number

1| 1 0 0 1

____+1_____ **repeat with the rest of the terms

1 1

1| 1 0 0 1

___+1_+1_+1

1 1 1 2

**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.

**since there is a remainder, rewrite it divided by the original divisor

final answer:

x^2 + x + 1 + (2/ x -1)

User Amit
by
7.7k points

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