Factoring Mixed Review (ET 11/26) - PC 2024

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 greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, divide each term of the expression by the GCF and write it outside the parentheses.

Front

Factor the expression: 24c^5 - 12c^3

Back

12c^3(2c^2 - 1)

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax^2 + bx + c.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to ac (the product of a and c) and add to b.

Front

Factor the expression: 5x^2 - 7x + 2

Back

(5x - 2)(x - 1)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a^2 - b^2 = (a - b)(a + b).

Front

Factor the expression: 3x^2 + 10x - 8

Back

(3x - 2)(x + 4)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b or x^2 - 4.