Factoring Flashcard Review

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you factor by using GCF?

Back

To factor by GCF, identify the largest factor common to all terms in the expression and factor it out.

Front

Factor the expression: 8n^3 + 2n^2

Back

2n^2(4n + 1)

Front

What are the steps to factor a quadratic expression of the form x^2 + bx + c?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the expression using these numbers and factor by grouping.

Front

Factor the expression: x^2 + 3x - 40

Back

(x + 8)(x - 5)

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

Factor the expression: 5ab^2c^11 + 2bc^5

Back

bc^5(5abc^6 + 2)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c, where a, b, and c are constants.

Front

Factor the expression: x^2 - 10x + 24

Back

(x - 6)(x - 4)

Front

What is the difference of squares?

Back

The difference of squares is a^2 - b^2 = (a - b)(a + b).