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In Math / Senior High School | 2024-09-03

x⁴-4x²+2x³ - 10x+5______________ x²+5​

Asked by kenjimontero41

Answer (1)

Answer:x²+2x-19 with the remainder of 90x+5Step-by-step explanation:To divide the polynomial           by    , we can perform polynomial long division. Here is the step-by-step process: 1. Divide the leading term of the dividend by the leading term of the divisor:   2. Multiply the divisor by the result from step 1 and subtract it from the dividend:                          3. Bring down the next term of the dividend:     4. Repeat the process:   5. Multiply the divisor by the result from step 4 and subtract it from the current result:                    6. Bring down the last term of the dividend:   7. Repeat the process:   8. Multiply the divisor by the result from step 7 and subtract it from the current result:                     Since the degree of the resulting polynomial (90x + 5) is less than the degree of the divisor (x² + 5), the division process stops here. Therefore, the result of   is       with a remainder of    .

Answered by jienne | 2024-09-03