Factoring Test

Front

What is the GCF of 5x^2 + 20x?

Back

5x

Front

What is the GCF of 3x^2 - 2x?

Back

x

Front

What is the factored form of the expression x^2 + x - 6?

Back

(x - 2)(x + 3)

Front

Factor the expression 63x^4 - 7x^2 + 28x.

Back

7x(9x^3 - x + 4)

Front

Factor the trinomial completely: x^2 - 6x - 72.

Back

(x - 12)(x + 6)

Front

What is the definition of factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler factors.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms.

Front

What does it mean for an expression to be prime?

Back

An expression is prime if it cannot be factored into simpler expressions.

Front

What is the difference between the GCF and LCM?

Back

GCF (Greatest Common Factor) is the largest factor shared by two or more numbers, while LCM (Least Common Multiple) is the smallest multiple shared by two or more numbers.

Front

How do you find the GCF of two terms?

Back

Identify the common factors of the terms and multiply them together.