Evaluation

Evaluate an expression at a point one step at a time:

evaluate x^2 + 2(x + 7) - 19 at x = 7

(x - 1)(x + 3)^2 + 7 where x = 2

Equation Solving

Solve equations one step at a time:

x^2 + 5x + 6 = 0

solve (9^(x + 1)) – (28 (3^(x))) + 3 = 0 over the real numbers

Polynomials

Factor polynomials step by step:

factor x^4+4

factor x^3+2x^2+x+2

Expand polynomials using FOIL, the binomial theorem and other methods:

expanded form of (x + 3)^2

multiply out (x^2 + x)^4

Choose from multiple methods to complete the square:

complete the square x^2 + 2x + 3

complete the square x^2 + y^2 + 2x + 4y - 11 = 0

Rational Functions

Simplify rational expressions with steps provided:

simplify (1/a + 1/b) (a + b)

k/(k + 1) + 1/((k + 1) (k + 2))

Learn to rewrite a rational function using our step-by-step partial fraction decomposition:

partial fraction decomposition 1/(x^2 + 4x + 3)

1/(x^3 + 4x^2 + 5x + 2)

Intercepts

Find axis intercepts one step at a time:

x intercepts of sin(x)

y intercept of x^2+1

intercepts of (x^2+2)(x^2-1)