What operations does this algebra calculator support?

This calculator evaluates polynomial expressions, performs polynomial addition and subtraction, multiplies (expands) polynomials, and computes powers of binomials. Enter coefficients to see instant results.

How do I enter a polynomial?

Enter coefficients separated by commas, from highest degree to lowest. For example, '2, 0, -3, 1' represents 2x³ − 3x + 1.

Can I evaluate a polynomial at a specific value?

Yes. Enter the polynomial coefficients and an x-value. The calculator evaluates the polynomial at that point using Horner's method for efficiency.

Algebra Calculator — Simplify, Expand & Factor Expressions

Polynomial Input

Your Results

P(x) × Q(x) x³ − x² − 4x + 4

Operation (x + 2)(x² − 3x + 2)

Result Polynomial x³ − x² − 4x + 4

Result Coefficients 1, -1, -4, 4

Degree 3

P(x) x + 2

Q(x) x² − 3x + 2

What is a Polynomial?

A polynomial is an expression of the form a_nxⁿ + a_n−1xⁿ⁻¹ + … + a₁x + a₀, where each a_i is a coefficient and n is the degree.

Supported Operations

1. Evaluate P(x)

Substitute an x value and compute the result using Horner's method.

2. Add P(x) + Q(x)

Add corresponding coefficients of each degree.

3. Subtract P(x) − Q(x)

Subtract corresponding coefficients.

4. Multiply P(x) × Q(x)

Distribute every term of P over Q (convolution of coefficients).

How to Enter Coefficients

Enter from highest degree to lowest, separated by commas.
2x³ − 3x + 1 → enter 2, 0, -3, 1 (note the 0 for x²).
x + 5 → enter 1, 5.
Constant 7 → enter 7.

Examples

Multiply (x + 2)(x² − 3x + 2): P = 1, 2 and Q = 1, -3, 2 → Result: x³ − x² − 4x + 4.
Add (3x² + 2x) + (x² − x + 5): P = 3, 2, 0 and Q = 1, -1, 5 → Result: 4x² + x + 5.
Evaluate 2x² + 3x − 5 at x = 4: P = 2, 3, -5, x = 4 → 2(16) + 3(4) − 5 = 39.

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