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)

Tags

CCSS.HSA.APR.C.4

Front

Solve for x: 3x² - 27 = 0

Back

x = 3, -3

Tags

CCSS.8.EE.A.2

Front

Solve for x: 2x² - 8 = 0

Back

x = 2, -2

Tags

CCSS.8.EE.A.2

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA.APR.C.4

Front

What is the discriminant in a quadratic equation?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is positive?

Back

The quadratic equation has two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is zero?

Back

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

Tags

CCSS.HSA-REI.B.4B