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3 Point Equation
Forms a quadratic from 3 points that are entered.

Cubic Equation
Solves for cubic equations in the form ax3 + bx2 + cx + d = 0 using the following methods:
1) Solve the long way for all 3 roots and the discriminant Δ
2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.

Factoring and Root Finding
This calculator factors a binomial including all 26 variables (a-z) using the following factoring principles:
* Difference of Squares
* Sum of Cubes
* Difference of Cubes
* Binomial Expansions
* Quadratics
* Factor by Grouping
* Common Term
This calculator also uses the Rational Root Theorem (Rational Zero Theorem) to determine potential roots
* Factors and simplifies Rational Expressions of one fraction
* Determines the number of potential positive and negative roots using Descarte’s Rule of Signs

Quadratic Equations and Inequalities
Solves for quadratic equations in the form ax2 + bx + c = 0. Also generates practice problems as well as hints for each problem.
* Solve using the quadratic formula and the discriminant Δ
* Complete the Square for the Quadratic
* Factor the Quadratic
* Y-Intercept
* Vertex (h,k) of the parabola formed by the quadratic where h is the Axis of Symmetry as well as the vertex form of the equation a(h - h)2 + k
* Concavity of the parabola formed by the quadratic
* Using the Rational Root Theorem (Rational Zero Theorem), the calculator will determine potential roots which can then be tested against the synthetic calculator.

Quartic Equations
Solves quartic equations in the form ax4 + bx3 + cx2 + dx + e using the following methods:
1) Solve the long way for all roots and the discriminant Δ
2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.


the square root of twice a number is 4 less than the number
A certain number added to its square is 30
The square of a positive integer minus twice its consecutive integer is equal to 22. find the intege
The product of two positive numbers is 96. Determine the two numbers if one is 4 more than the other
Write a model that utilizes all three explanatory variables with no interaction or quadratic terms.
The sum of a number and its square is 72. find the numbers?
2x^2+4x < 3x+6
The sum of the squares of two consecutive positive integers is 61. Find these two numbers.
The perpendicular height of a right-angled triangle is 70 mm longer than the base. Find the perimete
if x2 is added to x, the sum is 42
A rectangular garden is 5 ft longer than it is wide. Its area is 546 ft2. What are its dimensions?