Question

emergency!!!! Find the quotient and remainder when x^4 is divided by x^2 +2x -1​

Answer 1

Answer:

quotient  x² - 2x + 5

remainder  (-12x+5)

Step-by-step explanation:

     

                    x²      -2x       +5

x² + 2x - 1  | x^4   + 0*x³  + 0*x² + 0x + 0

                 |-(x^4  +  2x³   -   x²)

                            - 2x³    +x²     + 0x

                          -(-2x³   - 4x²   + 2x)

                                         5x²   - 2x + 0

                                     -(  5x²  +10x -5)

                                                  -12x + 5

x² - 2x + 5 + (-12x + 5)/(x² + 2x - 1)

                               

Answer 2

The Quotient  is $x^{2} -2x+5$ and The remainder is  -12x +5

How to Solve this Problem?

This problem can be solved by following steps

• According to the statement ,
• when x^4 is divided by x^2 +2x -1​
• It is not possible to divide only x^4 We need more terms to make the division possible.
• We will add more terms such as 0*x^3+0x^2+0x+0
• Now it is Possible to divide by x^2 +2x -1​
• The Quotient we get is $x^{2} -2x+5$
• The Remainder we get is -12x+5

Learn More about Quotient and remainder here

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