Complete the Square

Front

What is 'completing the square'?

Back

A method used to solve quadratic equations by rewriting them in the form (x + p)² = q.

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (x + a)² = x² + 2ax + a².

Front

Is x² + 18x + 9 a perfect square trinomial?

Back

No.

Front

What is the first step to solving a² + 10a + 21 = 0 by completing the square?

Back

Subtract the 21.

Front

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

Back

Divide it by 2 and square the result.

Front

What value of c makes x² - 12x + c a perfect square trinomial?

Back

36.

Front

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

Back

169.

Front

What is the formula for completing the square?

Back

x² + bx = (x + b/2)² - (b/2)².

Front

How do you determine if a quadratic is a perfect square?

Back

Check if the discriminant (b² - 4ac) is zero.

Front

What is the vertex form of a quadratic equation?

Back

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