Algebra Calculators

Solve any quadratic equation ax²+bx+c=0. Enter coefficients — get all roots via quadratic formula, completing the square, and factorisation. Free.

Calculate powers and exponents. See formula, step-by-step solution and all rearrangements. Instant math solver.

Find square roots of any number. Formula, variable legend, diagram and worked example included. Instant geometry result.

Calculate Cube Root quickly and accurately. Enter your values — see the result with the formula, worked example, and unit options. Free.

Simplify and calculate radical expressions. Enter your radicand and index — see the simplified form, decimal value, and steps. Free.

Solve logarithm equations. See formula, step-by-step solution and all rearrangements. Instant math solver.

Calculate Absolute Value quickly and accurately. Enter your values — see the result with the formula, worked example, and unit options. Free.

Multiply two binomials using the FOIL method. Enter (a+b)(c+d) — see each product (First, Outer, Inner, Last) with simplified result and steps. Free.

Calculate percentage change between values. Quick calculation with worked example and formula. Free everyday calculator.

Find percentage difference between two values. Quick calculation with worked example and formula. Free everyday calculator.

Calculate percent error between a measured and theoretical value. Enter both values — see the formula, absolute error, and relative error. Free.

Solve quadratics by completing the square. Formula, variable legend, diagram and worked example included. Instant geometry result.

Solve cubic equations ax³+bx²+cx+d=0. Enter coefficients a, b, c, d — see all real and complex roots with discriminant and Cardano's method. Free.

Calculate the 3D cross product A×B and find the perpendicular vector. See formula, step-by-step solution and all rearrangements. Instant math solver.

Perform matrix operations: add, multiply, find determinant, or invert. Enter matrix entries — see full row-reduction and eigenvalue steps. Free.

Find the inverse of a 2×2 or 3×3 matrix with step-by-step working. See formula, step-by-step solution and all rearrangements. Instant math solver.

Add, subtract, multiply, and divide complex numbers. Enter real and imaginary parts — see the result in rectangular and polar form with steps. Free.

Convert between polar and Cartesian. Fast and accurate result with formula, step-by-step method and unit overview. Free tool.

Approximate functions with Taylor series. Enter the function and centre — see terms up to any order with convergence radius and error bound. Free.

Perform modulo operations and modular exponentiation. Enter dividend and modulus — see the remainder with Euclidean algorithm steps. Free.

Generate Fibonacci sequence and golden ratio. See formula, step-by-step solution and all rearrangements. Instant math solver.

Find all prime factors of any integer. Enter your number and get the complete prime factorisation with factor tree and exponent notation. Free.

Convert and analyse parametric curves. Fast and accurate result with formula, step-by-step method and unit overview. Free tool.

Find eigenvalues of 2×2 matrices. See formula, step-by-step solution and all rearrangements. Instant math solver.

Calculate hyperbola properties from the equation. Enter a, b, and centre — see foci, eccentricity, asymptotes, and directrices with diagram. Free.

Find focus, directrix, and latus rectum for any parabola. Enter the equation — see vertex, focus, directrix, and axis of symmetry clearly. Free.

Check if any number is a perfect square and find its square root. Enter your integer — see whether it is a perfect square and why. Free.

Check if any number is a perfect cube and find its cube root. Enter your integer — see whether it is a perfect cube with verification. Free.

Check divisibility for any number using divisibility rules. Enter your number and divisor — see the rule applied step by step. Free.

Calculate the sum of digits of any integer. Enter your number — see each digit summed with the digital root and divisibility check. Free.

Find the digital root of any integer. Enter your number — see the repeated digit sum process until a single digit remains. Free.

Solve any quadratic by completing the square. Enter a, b, c — see the full transformation from standard to vertex form with all steps. Free.

Calculate the discriminant of a quadratic equation. Enter coefficients a, b, c — find Δ = b²−4ac and determine the nature of the roots. Free.

Divide a polynomial by a linear factor using synthetic division. Enter coefficients — see each step, quotient, and remainder clearly. Free.

List all possible rational roots of a polynomial using the Rational Root Theorem. Enter coefficients — get candidates and test each one. Free.

Apply Descartes' Rule of Signs to any polynomial. Enter coefficients — see sign changes, possible positive/negative roots, and complex root count. Free.

Divide any polynomial by another using long division. Enter dividend and divisor — see each step, quotient polynomial, and remainder. Free.

Compute (f∘g)(x) for any two functions. Enter f(x) and g(x) — see the composite function, simplified form, and evaluated results. Free.