Complete the square

Front

What is the process of completing the square?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve or analyze.

Tags

CCSS.HSA-REI.B.4B

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (x + a)² = x² + 2ax + a².

Tags

CCSS.HSA.APR.C.4

Front

How do you find the value of 'c' in the expression x² + bx + c to make it a perfect square?

Back

To find 'c', take half of 'b', square it, and add it to the expression. c = (b/2)².

Tags

CCSS.HSA-REI.B.4B

Front

Complete the square for x² + 26x + ___.

Back

+ 169

Tags

CCSS.HSA-REI.B.4B

Front

Complete the square for x² + 6x + ___.

Back

+ 9

Tags

CCSS.HSA-REI.B.4B

Front

Complete the square for x² - 16x + ___.

Back

+ 64

Tags

CCSS.HSA-REI.B.4B

Front

Complete the square for x² - 14x + ___.

Back

+ 49

Tags

CCSS.HSA-REI.B.4B

Front

What value of c would make x² + 2x + c a perfect square trinomial?

Back

+ 1

Tags

CCSS.HSA-REI.B.4B

Front

If you have the expression x² + 4x, what value should be added to complete the square?

Back

+ 4

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.