Complete the square

Front

Complete the square for x² + 12x + ____ (find the missing number in the blank)

Back

x² + 12x + 36

Tags

CCSS.HSA-REI.B.4B

Front

Find the missing value 'c' to create a perfect square trinomial: x² + 26x + ___

Back

-169

Tags

CCSS.HSA-REI.B.4B

Front

Complete the square for x² - 16x + ____ (find the missing value that goes in the blank)

Back

+64

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

+1

Tags

CCSS.HSA-REI.B.4B

Front

What value of c would make this a perfect square trinomial? x² + 20x + c

Back

+100

Tags

CCSS.HSA-REI.B.4B

Front

Definition: Completing the square

Back

A method used to convert a quadratic equation into a perfect square trinomial.

Tags

CCSS.HSA-REI.B.4B

Front

Formula for completing the square: (x + p)² = x² + 2px + p²

Back

Where p is half of the coefficient of x.

Tags

CCSS.HSA-REI.B.4B

Front

Example: Complete the square for x² + 10x + ____

Back

x² + 10x + 25 (25 is (10/2)²).

Tags

CCSS.HSA-REI.B.4B

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial.

Tags

CCSS.HSA.APR.C.4

Front

Example of a perfect square trinomial: x² + 6x + 9

Back

This can be factored as (x + 3)².

Tags

CCSS.HSA.APR.C.4