Remainder Theorem Calculator
Find the remainder when dividing a polynomial by (x - c) using the Remainder Theorem.
Enter Polynomial P(x)
For 2x³ - 3x² + x - 5, enter: 2, -3, 1, -5
Remainder Theorem
When a polynomial P(x) is divided by (x - c), the remainder equals P(c).
Result
P(x) =
2x^3 - 3x^2 + x - 5
P(3) = Remainder
25
Interpretation
When P(x) = 2x^3 - 3x^2 + x - 5 is divided by (x - 3), the remainder is 25.
Step-by-Step Calculation (Horner's Method)
Step 1: Start with leading coefficient: 2
Step 2: 2 × 3 + (-3) = 3
Step 3: 3 × 3 + (1) = 10
Step 4: 10 × 3 + (-5) = 25
Final answer: P(3) = 25