Algebra: Factoring Review

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of algebraic expressions?

Back

To find the GCF of algebraic expressions, identify the common factors in each term and multiply them together.

Front

Factor the expression: x^2 + 2x – 3

Back

(x - 1)(x + 3)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial.

Tags

CCSS.HSA.APR.C.4

Front

Is x^2 + 18x + 9 a perfect square trinomial?

Back

No

Tags

CCSS.HSA.APR.C.4

Front

Factor out the GCF from: 8r^3 + 16r^2

Back

8r^2(r + 2)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions that, when multiplied together, give the original expression.

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into products, while expanding is multiplying out the factors to get the original expression.

Front

Factor the expression: x^2 - 9

Back

(x - 3)(x + 3)

Tags

CCSS.HSA.APR.C.4

Front

What is the difference of squares?

Back

The difference of squares is a special product that can be factored as (a^2 - b^2) = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4