Basic Factoring

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 find the GCF of 15n^3 and 25n^2?

Back

The GCF is 5n^2.

Front

What is the factored form of d^2 - 10d + 25?

Back

(d - 5)(d - 5) or (d - 5)^2.

Front

How do you factor x^2 + 5x - 24?

Back

(x + 8)(x - 3).

Front

What is the factored form of 5x^3 - 7x^2?

Back

x^2(5x - 7).

Front

How do you factor 5x^2 + 20?

Back

5(x^2 + 4).

Front

What is the difference of squares formula?

Back

a^2 - b^2 = (a - b)(a + b).

Front

What is the formula for factoring a perfect square trinomial?

Back

a^2 + 2ab + b^2 = (a + b)^2.

Front

What is the formula for factoring a quadratic expression ax^2 + bx + c?

Back

To factor, find two numbers that multiply to ac and add to b.

Front

What is the significance of factoring in algebra?

Back

Factoring simplifies expressions and helps solve equations.