• Remainder Theorem Calculator
    Find the remainder when a polynomial P(x) is divided by (x − c) using the Remainder Theorem. Enter coefficients and c to instantly get P(c).
  • Cross Multiplication Calculator
    Solve any proportion a/b = c/x using cross multiplication. Enter three known values and instantly find the missing fourth term with steps.
  • Sum of Squares of Integers Calculator
    Compute the sum of squares 1² + 2² + … + n² instantly using the closed-form formula n(n+1)(2n+1)/6. Fast, exact results for any whole number n.
  • Condense Logarithms Calculator
    Condense logarithms into a single log. Combine a·log_b(x)+c·log_b(y)-d·log_b(z) into log_b(x^a·y^c/z^d) with step value.
  • Vertical & Horizontal Asymptote Calculator
    Find vertical and horizontal asymptotes of a rational function. Enter leading coefficients and degrees to get the horizontal asymptote by degree comparison.
  • Arithmetic Series Sum from First and Last Term Calculator
    Find the sum of an arithmetic series instantly using the number of terms, first term, and last term with the formula Sn = n(a1 + an)/2.
  • Rational Zero Test Calculator
    Apply the Rational Root Theorem: list all possible rational zeros ±p/q of a polynomial from its constant term and leading coefficient.
  • Negative Exponent Calculator
    Calculate negative exponents instantly. Enter a base and exponent to compute a⁻ⁿ = 1 / aⁿ with step-by-step results and the positive power.
  • One-Step Equation Calculator
    Solve one-step linear equations instantly: x + a = b, x − a = b, a·x = b, and x / a = b. Enter a and b and get x with the inverse-operation method.
  • Rational Equation Calculator
    Solve rational equations of the form a/(x+b) = c/(x+d). Cross-multiplies and solves for x step by step, flagging extraneous solutions.
  • Sum and Product of Roots Calculator
    Find the sum and product of the roots of any quadratic ax^2+bx+c=0 instantly using Vieta formulas. Sum = -b/a, product = c/a, plus discriminant.
  • Radical Equation Solver
    Solve radical equations of the form √(ax+b)=c step by step. Get x = (c²−b)/a instantly, with validity checks for negative c and a=0.
  • Expand Logarithms Calculator
    Expand logarithms using the product, quotient and power rules. Enter base, x, y and exponent to see log(xy), log(x/y) or log(x^p) rewritten and evaluated.
  • Compound Inequality Solver Calculator
    Solve compound linear inequalities of the form a < bx + c < d instantly. Get the solution set for x in interval notation, step by step.
  • Hyperbola Equation Calculator
    Calculate a horizontal hyperbola from its standard equation: find center, vertices, foci, focal distance c, asymptote slopes and eccentricity instantly.
  • Modular Exponentiation Calculator
    Compute a^b mod m fast with this modular exponentiation calculator. Uses square-and-multiply (fast exponentiation) for large bases, exponents and moduli.
  • Ellipse Foci & Eccentricity Calculator
    Calculate an ellipse linear eccentricity (focal distance c), eccentricity e, area, and perimeter from its two semi-axes a and b. Free and instant.
  • Evaluate a Function Calculator
    Evaluate a quadratic function f(x) = ax² + bx + c at any value x = a. Enter the coefficients and the input to instantly compute f(a) with a term breakdown.
  • Find the Linear Function f(x)=mx+b from Two Points
    Find the linear function f(x)=mx+b from two points. Enter (x1,y1) and (x2,y2) to compute the slope m and y-intercept b instantly.
  • Parabola Vertex Calculator
    Find the vertex, focus and directrix of a parabola y=ax²+bx+c. Enter a, b, c to get the turning point and focal geometry instantly.
  • Percent Error Calculator
    Free percent error calculator. Enter your measured and actual values to find percent error and absolute error with the standard formula instantly.
  • Polynomial Multiplication Calculator
    Multiply two polynomials instantly. Enter coefficients to get the expanded product polynomial, its coefficient list, and resulting degree.
  • 2×2 Matrix Determinant Calculator
    Compute the determinant of a 2×2 matrix instantly using det = ad − bc. Enter the four entries a, b, c, d and get the result with steps.
  • Factor a Trinomial Calculator
    Factor a quadratic trinomial ax²+bx+c into a(x−r₁)(x−r₂). Enter a, b, c to get the roots, discriminant, and factored form instantly.