Solving Quadratic Equations by Factoring

Front

What is the Zero-Product Property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve using Zero-Product Property: (2x-2)(5x-5) = 0

Back

x = 1

Front

What is the standard form of a quadratic equation?

Back

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

Front

Factor the expression: 6x² - 27x

Back

3x(2x - 9)

Front

What are the solutions of the quadratic equation x² + 12x + 35 = 0?

Back

x = -5 or x = -7

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means expressing it as a product of its linear factors.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b² - 4ac and determines the nature of the roots.

Front

What are the possible values of the discriminant?

Back

If the discriminant is positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

Solve for n: -n² - 3 = -2n² - 2n

Back

n = -3 and 1