Factoring and Quadratic Formula

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

How do you determine if a quadratic can be factored?

Back

A quadratic can be factored if its discriminant (b² - 4ac) is a perfect square.

Front

Solve for x: x² + 4x - 40 = -8

Back

x = -8, 4

Front

Factor the expression: 4x² - 25x + 25

Back

(x - 5)(4x - 5)

Front

Find x for the equation: 2x² - 8x - 24 = 0

Back

x = 6, -2

Front

Factor completely: 3x² - 8x + 4

Back

(3x - 2)(x - 2)

Front

Factor completely: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac, which determines the nature of the roots.