? Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our quadratic expression into a perfect square trinomial. A perfect square trinomial is an expression that can be expressed in the form (x + a)^2.

Given a quadratic expression, ax^2 + bx + c, the value of c that completes the square in the quadratic expression is given by c = (b/2)^2.

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✅Standard to Vertex Form by Completing the Square

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✅Find the Vertex by Completing the Square

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In this video we work an example in which we're given a function of x involving the constant c. We have to figure out what value of c will make the function continuous for all values of x.

How to use an initial condition to be able to find the value of a constant of integration for a particular case.