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Synthetic Division Calculator

Divide polynomials quickly using synthetic division

Polynomial Coefficients (comma-separated)

Enter coefficients from highest to lowest degree

Divisor Value (k)

For divisor (x - k), enter the value of k

Step 1: Set Up

Write coefficients in a row, write k to the left

Step 2: Bring Down

Bring down the first coefficient

Step 3: Multiply and Add

Multiply by k, add to next coefficient, repeat

Step 4: Result

Bottom row = quotient coefficients + remainder (last value)

Faster

Much quicker than long division

Less Writing

Fewer steps and calculations

Find Roots

Test potential zeros quickly

Remainder Theorem

Remainder = f(k) by theorem

Algebra

• Finding polynomial roots

• Factoring polynomials

• Simplifying expressions

Calculus

• Partial fractions

• Integration

• Limit evaluation

Engineering

• Transfer functions

• System analysis

• Signal processing

• Only works for divisors of form (x - k)

• Must include ALL coefficients (use 0 for missing terms)

• If remainder is 0, then (x - k) is a factor

• Sign of k: dividing by (x - 2) means k = 2, not -2