Use Long Division to find the answer. Please show all steps!

The answer to your question is 2x² + 3x +  Remainder (17x - 7)/ ( 2x⁴  +  3x³  - 4x²  + 5x - 7)

Step-by-step explanation:

                             2x² + 3x

             x² - 4     2x⁴  +  3x³  - 4x²  + 5x - 7

                          -2x⁴              + 4x²

                            0      + 3x³   + 0    + 5x

                                     - 3x³             +12x

                                        0                +17x - 7

Quotient = 2x² + 3x

Remainder = 17x - 7

Solution  = 2x² + 3x + (17x - 7)/ ( 2x⁴  +  3x³  - 4x²  + 5x - 7)

Process

1.- Divide the first term of the divident by the first term of the divisor and place the result above the first term of the divident.

2.- Multiply the result of the division (2x²) by the first term of the divisor and change the sign of the result.

3.- Multiply the result (2x²) by the second term of the divisor and place the result below the like term.

4.- Add the results.

5.- Continue with this process until the remainder be lower than the divisor.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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