Synthetic Division Calculator
Polynomial Coefficients (highest degree first)
Divisor Root (x = ?)
Synthetic division is a shorthand method for dividing a polynomial by a linear factor (x − r). It is faster than long division and directly tests whether r is a root of the polynomial.
- 1Write coefficients in a row
- 2Drop first coefficient; multiply by root r
- 3Add to next coefficient; repeat
- 4Last value is remainder; others are quotient coefficients
x³−6x²+11x−6 ÷ (x−1)=Quotient: x²−5x+6, Remainder: 0 (so x=1 is a root)
x³+2x−3 ÷ (x−1)=Quotient: x²+x+3, Remainder: 0
| Step | Action |
|---|---|
| 1 | Write root r and coefficients |
| 2 | Drop leading coefficient |
| 3 | Multiply by r, add to next coefficient |
| 4 | Repeat until remainder |
| 5 | Remainder = 0 means r is a root |
References
🔒
100% Bezpłatny
Bez rejestracji
✓
Dokładny
Zweryfikowane wzory
⚡
Natychmiastowy
Wyniki od razu
📱
Przyjazny mobilny
Wszystkie urządzenia