Factoring Review

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of 12t and 18?

Back

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

Front

What is the first step in solving (x + 2)(x - 3) = 0?

Back

Set each binomial factor equal to zero: x + 2 = 0 and x - 3 = 0.

Front

What is the GCF of -r^9s^5 and -rs^4?

Back

The GCF is rs^4, as it includes the lowest powers of each variable.

Front

Complete the factoring: x^2 - 12x + 32 is factored into (x-8)(___)

Back

(x - 4).

Front

Complete the factoring: 7x^2y^5 + 56x^2y^4 is factored to 7x^2y^4( __ )

Back

(y + 8).

Front

What does FOIL stand for in factoring?

Back

FOIL stands for First, Outside, Inside, Last, a method used to multiply two binomials.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is the difference between factoring and expanding?

Back

Factoring breaks down an expression into simpler components, while expanding multiplies out the components.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.