Algebra Calculator

  • Factor Out the GCF from a Polynomial Calculator
    Factor out the greatest common factor (GCF) from any polynomial. Enter the terms and get the fully factored form with steps. Free and instant.
  • 3D Vector Cross Product Calculator
    Compute the cross product of two 3D vectors a × b instantly. Get each component (x, y, z) plus the magnitude of the resulting perpendicular vector.
  • Number Base Converter Calculator
    Convert numbers between binary, octal, decimal, and hexadecimal. Free base converter using place value and repeated division with worked steps.
  • De Moivre's Theorem Calculator
    Apply De Moivre's theorem to raise a complex number in polar form (r∠θ) to a power n. Get modulus, angle, and rectangular a+bi form instantly.
  • Arithmetic Sequence Calculator
    Compute the nth term (aₙ) and the sum (Sₙ) of an arithmetic sequence from the first term, common difference, and term position.
  • Original Value Before Percent Change Calculator
    Find the original value before a percent increase or decrease. Enter the final value and percent change to reverse-calculate the starting amount instantly.
  • Slope-Intercept from Standard Form Calculator
    Convert a linear equation Ax + By = C into slope-intercept form y = mx + b. Instantly find the slope m = -A/B and y-intercept b = C/B.
  • Find X and Y Intercepts of a Line
    Find the x-intercept and y-intercept of a line in standard form Ax + By = C. Enter A, B, and C to get both intercepts and the slope instantly.
  • Nature of Roots Calculator
    Find the discriminant of a quadratic equation and determine the nature of its roots — two real, one repeated, or two complex conjugate roots.
  • Quadratic Factoring Calculator
    Factor any quadratic ax²+bx+c into binomial form a(x−r₁)(x−r₂). Enter a, b, c to get the roots, discriminant, and factored expression instantly.
  • Equivalent Ratios Calculator
    Generate equivalent ratios by scaling a:b with a multiplier, and check if two ratios a:b and c:d are equal using cross multiplication.
  • X and Y Intercepts of a Line Calculator
    Find the x-intercept and y-intercept of a line from its equation ax + by + c = 0. Enter coefficients a, b, c to get both intercepts instantly.
  • Percent Grade (Slope) Calculator
    Calculate percent grade and slope from two points. Enter X/Y coordinates to get rise/run, slope ratio, grade percentage, and angle of incline.
  • Solve Quadratic by Factoring Calculator
    Solve any quadratic equation ax²+bx+c=0 by factoring. Get both roots, the discriminant, and step-by-step factor logic instantly.
  • Part of a Whole Calculator
    Find the part, whole, or percent in any part-of-a-whole problem. Solve part = percent/100 × whole instantly with this free percentage ratio calculator.
  • Percent Proportion Calculator
    Solve percent word problems with the proportion part/whole = percent/100. Find the missing part, whole, or percent instantly with full steps.
  • Markup & Markdown Calculator
    Calculate the final price after a percent markup or markdown. Enter an original price and percentage to see the new price and the dollar change instantly.
  • Evaluate an Algebraic Expression Calculator
    Evaluate the algebraic expression a·x² + b·x + c·y + d by substituting your values for x and y. See each term and the simplified result instantly.
  • Solve for x: Variables on Both Sides Calculator
    Solve linear equations of the form ax + b = cx + d. Enter the coefficients and constants to find x instantly, with full steps shown.
  • Degree and Leading Coefficient of a Polynomial Calculator
    Find the degree and leading coefficient of any polynomial. Enter coefficients highest-power first and instantly get the degree, leading term, and term count.
  • Completing the Square Calculator
    Solve any quadratic equation ax² + bx + c = 0 by completing the square. Get real roots, the discriminant, and the vertex instantly.
  • Percent Increase to Find New Value Calculator
    Find the new value after a percent increase or decrease. Enter the original value and the percent change to get the resulting amount instantly.
  • Continuous Compound Interest Calculator
    Calculate continuous compound interest with the formula A = Pe^(rt). Find the future value and total interest from principal, rate, and time instantly.
  • Simplify Rational Expression Calculator
    Simplify a rational expression by factoring the numerator and denominator quadratics and cancelling common factors. Shows steps, factors, and reduced form.

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