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 a factor?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

Factor the expression: x² - 16x + 48

Back

(x - 12)(x - 4)

Front

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

Back

x - 4

Front

Factor the expression: 2x² - 3x - 2

Back

(2x + 1)(x - 2)

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the expression: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you check if a factor is correct?

Back

To check if a factor is correct, multiply the factors together and see if you get the original expression.

Front

What is the difference between prime and composite factors?

Back

Prime factors are factors that are prime numbers, while composite factors are made up of two or more prime factors.