Solving Quadratics 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 the Zero-Product Property: (x + 4)(x − 3) = 0

Back

x = -4 and x = 3

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation involves rewriting it as a product of two binomials.

Front

Factor and Solve: a² + 2a − 24 = 0

Back

a = -6, 4

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

Solve by taking the square root: 4x² = 100

Back

x = ±5

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x that make the equation equal to zero.

Front

Factor and Solve: x² + 13x + 12 = 0

Back

x = -12, -1

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.

Front

Solve using the Zero-Product Property: 7x(x − 6) = 0

Back

x = 0 and x = 6