Reverse FOIL Calculator

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The coefficient of x squared in ax^2 + bx + c. Cannot be zero.
The coefficient of x in ax^2 + bx + c.
The constant (no variable) term in ax^2 + bx + c.
Factored formFactorable over integers
(2x + 1)(x - 2)

The trinomial written as a product of two binomials

First factor(2x + 1)
Second factor(x - 2)
Discriminant (b^2 - 4ac)25
Root 12
Root 2-0.5
Discriminant (b^2 - 4ac)25

2x^2 - 3x - 2 factors as (2x + 1)(x - 2).

  • The two roots (zeros) of the equation are x = 2.0000 and x = -0.5000.
  • You can verify the factoring by expanding (2x + 1)(x - 2) using FOIL and confirming you get back 2x^2 - 3x - 2.
  • The AC method works by finding two integers whose product is a times c and whose sum is b, then factoring by grouping.

Next stepSet each factor equal to zero and solve for x to find the solutions to the quadratic equation.

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