Algebra calculators

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Union and Intersection Calculator icon

Union and Intersection Calculator

Use our Union and Intersection Calculator to combine sets, find shared values, and see clear results. Enter items, then copy the output.

System of Equations Calculator icon

System of Equations Calculator

Use our System of Equations Calculator to solve 2x2 and 3x3 linear systems. Get graphs and step-by-step solutions using Elimination and Cramer's Rule.

Synthetic Division Calculator icon

Synthetic Division Calculator

Use our free Synthetic Division Calculator to solve polynomials instantly. Learn the steps, find remainders, and master the Factor Theorem easily.

Substitution Method Calculator icon

Substitution Method Calculator

Solve systems of linear equations instantly with our Substitution Method Calculator. Get step-by-step explanations, specific solutions, and visual graphs.

Subset Calculator icon

Subset Calculator

Instantly generate the power set and all proper subsets of any set. Our free Subset Calculator handles combinations, filters by size, and explains the math.

Square of a Binomial Calculator icon

Square of a Binomial Calculator

Instantly expand (a+b)² or factor perfect square trinomials. Use our Square of a Binomial Calculator for step-by-step math solutions and geometric proofs.

Rational Zeros Calculator icon

Rational Zeros Calculator

Instantly find all rational roots of a polynomial. Our Rational Zeros Calculator uses the p/q theorem and synthetic division to show step-by-step solutions.

Quaternion Calculator icon

Quaternion Calculator

Master 3D rotations with our Quaternion Calculator. Easily compute multiplication, inverse, and axis-angles. Visualize the formulas and solve gimbal lock.

FOIL Calculator icon

FOIL Calculator

Use this free FOIL Calculator to multiply binomials and expand polynomials. Learn the F.O.I.L method step-by-step with our easy guide. Try it now!

Factoring Trinomials Calculator icon

Factoring Trinomials Calculator

Factoring Trinomials Calculator. Get detailed step-by-step solutions using the AC method and interactive graphs for ax²+bx+c equations.