Answer:
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.
