Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the factored form of x² - 13x + 40?

Back

(x - 5)(x - 8)

Front

Which of the following is a factor of x² - 10x + 24?

Back

x - 4

Front

What is the factored form of x² - 6x + 8?

Back

(x - 2)(x - 4)

Front

What is the square of a binomial?

Back

The square of a binomial (a - b)² is expressed as a² - 2ab + b².

Front

What is the factored form of 2x² + 22x + 60?

Back

2(x + 5)(x + 6)

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a + b)(a - b).

Front

What is the factored form of x² - 9?

Back

(x + 3)(x - 3) (difference of squares)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.