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

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

Step-by-step 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

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

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

answer:

what is your question that you ask

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