ALG2 3.3 - Complete the Square Practice

Front

Is x² + 10x + 25 a perfect square trinomial?

Back

Yes

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

Front

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

Back

1

Front

What should be added to both sides of the equation x² + 12x = 5 to complete the square?

Back

36

Front

Complete the square for x² + 6x + ___. (Find the missing value)

Back

9

Front

Definition: Perfect Square Trinomial

Back

A trinomial of the form (a + b)² = a² + 2ab + b².

Front

How to identify a perfect square trinomial?

Back

Check if it can be expressed as (x + a)² or (x - a)².

Front

What is the formula to complete the square for ax² + bx + c?

Back

x = -b/2a ± √(b² - 4ac)/2a.

Front

Example: Complete the square for x² + 8x.

Back

Add (8/2)² = 16 to complete the square: (x + 4)².

Front

What is the vertex form of a quadratic equation?

Back

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