Factoring Test

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 a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form of ax^2 + bx + c.

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you find the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6, as it is the largest number that divides both.

Front

Factor the expression: x^2 + 5x - 24

Back

(x + 8)(x - 3)

Front

Factor the expression: x^2 - 6x - 72

Back

(x - 12)(x + 6)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the GCF of all the terms in the polynomial.

Front

Factor by using GCF: 8n^3 + 2n^2

Back

2n^2(4n + 1)

Front

What is the factored form of x^2 + 9x - 36?

Back

(x + 12)(x - 3)

Front

What is the purpose of factoring in algebra?

Back

Factoring helps simplify expressions and solve equations more easily.