Algebra calculators
41 calculators Completing the Square Calculator Convert ax2 + bx + c to vertex form and find real or complex roots by completing the square. Shows every step, discriminant, and the parabola chart.
Open Complex Number Calculator Perform arithmetic on complex numbers in a+bi form. Get results in rectangular, polar, exponential, and trig (CIS) form, with every step shown.
Open Cubic Equation Calculator Solve any cubic equation ax3 + bx2 + cx + d = 0. Get all three roots (real and complex), the discriminant, Vieta sums, and a full show-your-work breakdown.
Open Discriminant Calculator Find the discriminant of any quadratic, cubic or quartic polynomial. See the root count, root values, vertex, axis of symmetry and full step-by-step work.
Open Quadratic Formula Calculator Solve ax+bx+c=0 instantly. Get both roots, the discriminant, vertex, axis of symmetry, factored form, vertex form, and step-by-step work.
Open Synthetic Division Calculator Divide any polynomial by a linear factor using synthetic division. Get the quotient polynomial, remainder, full equation, and step-by-step tableau instantly.
Open System of Equations Calculator Solve 2x2 or 3x3 linear systems instantly. Choose Cramer's rule or Gaussian elimination, get exact fractions, and see every step shown clearly.
Open Absolute Value Equation Calculator Solve absolute value equations of the form |ax+b|+c=d step by step. Find both solutions, see the split into positive and negative cases, and visualize the number line.
Open Absolute Value Inequalities Calculator Solve any absolute value inequality of the form a|bx + c| + d < e instantly. Get the solution set, interval notation, AND/OR logic, and a worked step-by-step breakdown.
Open Adding and Subtracting Polynomials Calculator Add or subtract two polynomials up to degree 6, with full step-by-step working, like-terms grouping, and the simplified result. Free and instant.
Open Bessel Function Calculator: J, Y, I and K Functions Calculate Bessel functions J_n(x), Y_n(x), I_n(x) and K_n(x) for any integer order 0-5 and real argument. Includes the math steps, a value chart, and a reference table.
Open Binomial Coefficient Calculator (nCr) Calculate C(n,k) instantly. Get nCr, nPr, combinations with repetition, step-by-step factorial work, Pascal's triangle row, and a bar chart - all free.
Open Box Method Calculator Multiply any two whole numbers using the box (area) method. See every partial product in the grid, follow the step-by-step breakdown, and check your work instantly.
Open Complex Conjugate Calculator Find the complex conjugate of any complex number instantly. Get z-bar, modulus |z|, modulus squared |z|^2, argument, polar form, and step-by-step working shown.
Open Complex Root Calculator Find all n distinct nth roots of any complex number in Cartesian, polar, and exponential form. Uses De Moivre's theorem with step-by-step working.
Open Descartes' Rule of Signs Calculator Count the possible positive and negative real roots of any polynomial up to degree 6 using Descartes' Rule of Signs. See every valid root combination instantly.
Open Diamond Problem Calculator Solve any diamond math problem instantly. Enter two known values (product, sum, or side numbers) and get all four answers with full step-by-step working.
Open Direct Variation Calculator Solve direct variation (y = kx) for any unknown: find y, x, or the constant k. Includes two-point mode, proportion solver, steps, and a real-world examples table.
Open Elimination Method Calculator Solve 2x2 or 3x3 systems of linear equations by elimination with full step-by-step working, special-case detection, and instant results.
Open Error Function Calculator Calculate erf(x), erfc(x), and erfcx(x) online. Inverse erf and erfc included. Step-by-step panel, curve visual, and reference table from x = 0 to 3.
Open Factoring Trinomials Calculator Factor any trinomial ax2 + bx + c instantly. See the AC method, perfect square, and difference of squares steps shown with your numbers.
Open FOIL Calculator Multiply two binomials with the FOIL method instantly. Enter a, b, c, d for (ax+b)(cx+d) and get every step: First, Outer, Inner, Last, and the simplified result.
Open Gamma Function Calculator Calculate the Gamma function Gamma(x) for any real number. Get the result, ln|Gamma(x)|, factorial equivalent, and a step-by-step worked solution instantly.
Open Rectangle Calculator Calculate the area, perimeter, diagonal, circumradius, and inradius of a rectangle in metric or imperial units. Solve from any two known values instantly.
Open Graphing Inequalities on a Number Line Calculator Graph linear inequalities on a number line instantly. Get interval notation, set-builder notation, direction arrows, open/closed circles, and step-by-step solutions.
Open Graphing Quadratic Inequalities Calculator Solve any quadratic inequality ax^2 + bx + c vs d. Get the solution in interval notation, discriminant, vertex, roots, and a full step-by-step worked solution.
Open Hyperbolic Functions Calculator Calculate all 6 hyperbolic functions (sinh, cosh, tanh, coth, sech, csch) and all 6 inverse hyperbolic functions instantly. See the worked steps and formulas.
Open Inequality to Interval Notation Calculator Convert any inequality to interval notation instantly. Supports one-sided, two-sided and compound OR inequalities, with set-builder notation and steps.
Open Interval Notation Calculator Convert inequalities to interval notation and back. Get interval length, set-builder form, midpoint, and step-by-step work for open, closed, or half-open intervals.
Open Inverse Variation Calculator Solve for x, y, or k in the inverse variation equation y = k/x. Enter any two known values and get the third, with full steps and a live curve chart.
Open Multiplying Binomials Calculator Multiply two binomials instantly using the FOIL method. Get the expanded trinomial, all four FOIL steps shown, and the product pattern identified.
Open Multiplying Polynomials Calculator Multiply two polynomials of any degree up to 6 instantly. Shows the full distributive-property expansion and simplified result with every term labeled.
Open Partial Fraction Decomposition Calculator Decompose a rational function into partial fractions instantly. Choose your denominator form, enter coefficients, and get constants A, B, C with step-by-step workings.
Open Perfect Square Trinomial Calculator Check if ax² + bx + c is a perfect square trinomial, get the factored binomial form, or find a missing term. Includes step-by-step working and examples.
Open Polynomial Division Calculator Divide any polynomial by another with full long-division steps, quotient, remainder, and the factor theorem check. Works with degrees 0 through 5.
Open Power Set Calculator Enter any set of elements and instantly get its power set: total subset count, proper subset count, k-element subset counts, and a full enumerated list.
Open Quaternion Calculator Free quaternion calculator: add, subtract, multiply, divide, find the norm, conjugate, inverse, and generate rotation quaternions from axis and angle.
Open Rational Zeros Calculator Find all possible rational zeros of any polynomial up to degree 8. Enter coefficients to get every p/q candidate, actual rational roots, and synthetic division steps.
Open Subset Calculator Find all subsets (power set) of any set in seconds. Enter your elements to count total subsets, proper subsets, and see every subset listed with step-by-step working.
Open Substitution Method Calculator Solve a system of two linear equations by substitution. See every algebraic step: isolate a variable, substitute, simplify, and back-solve. Instant results.
Open Union and Intersection Calculator Find the union, intersection, difference, and symmetric difference of two sets. Get cardinalities, the inclusion-exclusion formula, and a full step-by-step solution.
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