Solving Quadratic Equations by Factoring

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

Identify the coefficients a, b, and c in the quadratic equation: 3x² + 4x - 5 = 0.

Back

a = 3, b = 4, c = -5.

Front

How do you factor the quadratic equation x² - 5x + 6 = 0?

Back

(x - 2)(x - 3) = 0.

Front

What are the solutions to the equation (x - 1)(x - 4) = 0?

Back

x = 1 or x = 4.

Front

What does it mean for a quadratic equation to be factorable?

Back

A quadratic equation is factorable if it can be expressed as a product of two binomials.

Front

Solve the quadratic equation by factoring: x² + 7x + 10 = 0.

Back

x = -2 or x = -5.

Front

What is the relationship between the roots and the coefficients of a quadratic equation?

Back

The sum of the roots is -b/a and the product of the roots is c/a.

Front

Solve the quadratic equation by factoring: x² - 6x + 9 = 0.

Back

x = 3 (a double root).

Front

What is the first step in solving a quadratic equation by factoring?

Back

Set the equation equal to zero.

Front

Identify the roots of the quadratic equation: 2x² - 8x = 0.

Back

x = 0 or x = 4.