Solve by Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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 solve a quadratic equation by factoring?

Back

To solve a quadratic equation by factoring means to express the equation in the form (x - p)(x - q) = 0, where p and q are the roots of the equation.

Front

What are the roots of the equation x² - 9x + 20 = 0?

Back

The roots are x = 4 and x = 5.

Front

How do you factor the expression x² - 49?

Back

x² - 49 can be factored as (x - 7)(x + 7), which represents the difference of squares.

Front

What are the roots of the equation x² - 49 = 0?

Back

The roots are x = 7 and x = -7.

Front

How do you factor the expression x² + 3x - 18?

Back

x² + 3x - 18 can be factored as (x - 3)(x + 6).

Front

What are the roots of the equation x² + 3x - 18 = 0?

Back

The roots are x = 3 and x = -6.

Front

How do you factor the expression x² + 10x + 16?

Back

x² + 10x + 16 can be factored as (x + 2)(x + 8).

Front

What are the roots of the equation x² + 10x + 16 = 0?

Back

The roots are x = -2 and x = -8.