Foundations Math 2 Review

Front

Factor x² + 7x + 12

Back

(x + 3)(x + 4)

Front

Factor x² - 10x + 24

Back

(x - 6)(x - 4)

Front

Factor d² - 10d + 25

Back

(d - 5)(d - 5)

Front

Solve for x: 3x² - 27 = 0

Back

x = 3, -3

Front

Solve for x: 2x² - 8 = 0

Back

x = 2, -2

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

Define a perfect square trinomial.

Back

A trinomial that can be expressed as the square of a binomial, e.g., (a + b)² = a² + 2ab + b².

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac, which determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

The quadratic equation has two distinct real roots.

Front

What does it mean if the discriminant is zero?

Back

The quadratic equation has exactly one real root (a repeated root).