14

# Completing the Square

## Lecture no. 14 from the course: Algebra II

Taught by Professor James A. Sellers | 30 min | Categories: The Great Courses Plus Online Mathematics Courses

Turn a quadratic equation into an easily solvable form that includes a perfect square—a technique called completing the square. An important benefit of this approach is that the rewritten form gives the coordinates for the vertex of the parabola represented by the equation.

## Reviews

h********m
September 21, 2019
c********m
January 13, 2019
d********m
August 16, 2018
There is an issue that is not addressed in the last sample. There is a leading coefficient of 2 and factoring out the 2 from the equation makes it look like (3, -16) is the vertex of the parabola, but I graphed it and it is not the vertex. The vertex is (3, -32). I think you have to use the vertex form of the quadratic equation in order to get the real vertex if the leading coefficient of the equation is not one. And if that is the first thing he says on the next lecture about the quadratic equation, I apologize.