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Polynomial Division Calculator

Divide polynomials using long division method

📐Long Division Algorithm

Step 1: Divide
Divide the first term of dividend by first term of divisor
Step 2: Multiply
Multiply the entire divisor by the quotient term
Step 3: Subtract
Subtract the product from the dividend
Step 4: Repeat
Continue process with the remainder

💡Example: (x³ + 2x² - 5x + 3) ÷ (x - 1)

Step 1: x³ ÷ x = x²
Step 2: x²(x - 1) = x³ - x²
Step 3: (x³ + 2x²) - (x³ - x²) = 3x²
Step 4: 3x² ÷ x = 3x
Step 5: 3x(x - 1) = 3x² - 3x
Step 6: (3x² - 5x) - (3x² - 3x) = -2x
Step 7: -2x ÷ x = -2
Step 8: -2(x - 1) = -2x + 2
Step 9: (-2x + 3) - (-2x + 2) = 1
Quotient: x² + 3x - 2
Remainder: 1

💼Applications

Algebra
• Simplifying expressions
• Finding factors
• Solving equations
Calculus
• Integration
• Partial fractions
• Limit evaluation
Engineering
• Signal processing
• Control theory
• System analysis

Polynomial Division Calculator