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Front

Convert x² - 9x + 20 to factored form and solve.

Back

(x-4)(x-5); x = 4, 5

Front

Complete the square for x² + 12x + ____. Find the missing number.

Back

x² + 12x + 36

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 is the factored form of x² - 6x + 8?

Back

(x-2)(x-4); x = 2, 4

Front

How do you find the vertex of a parabola given in standard form y = ax² + bx + c?

Back

Vertex (h, k) is found using h = -b/(2a) and k = f(h).

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Front

What is the process of completing the square?

Back

Rearranging a quadratic equation to the form (x-h)² = k.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac; it determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

There are two distinct real roots.

Front

What does it mean if the discriminant is zero?

Back

There is exactly one real root (a repeated root).