Complete the Square

Front

What is the process to complete the square for a quadratic expression?

Back

1. Take the coefficient of x (b), divide it by 2, and square the result. 2. Add and subtract this value inside the expression.

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 or (x - a)².

Tags

CCSS.HSA.APR.C.4

Front

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

Back

169

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

Divide it by 2 and square the result.

Tags

CCSS.HSA-REI.B.4B

Front

Factor the expression: x² - 4x + 4.

Back

(x - 2)²

Tags

CCSS.HSA.APR.C.4

Front

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

Back

9

Tags

CCSS.HSA-REI.B.4B

Front

Complete the square for x² - 14x + ____. (Find the missing value)

Back

49

Tags

CCSS.HSA-REI.B.4B

Front

What is the formula for completing the square?

Back

x² + bx = (x + b/2)² - (b/2)².

Tags

CCSS.HSA-REI.B.4B

Front

How do you identify a perfect square trinomial?

Back

If the first and last terms are perfect squares and the middle term is twice the product of the square roots of the first and last terms.

Tags

CCSS.HSA.APR.C.4

Front

What is the vertex form of a quadratic equation?

Back

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