Factoring GCF

Front

What is the definition of 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 the terms 25x^8, 40x^7, and 15x^3?

Back

1. List the factors of each term: - 25x^8 = 5^2 * x^8 - 40x^7 = 5 * 8 * x^7 - 15x^3 = 3 * 5 * x^3 2. Identify the common factors: 5 and x^3. 3. The GCF is 5x^3.

Front

Factor the polynomial 5x + 60x^4.

Back

5x(1 + 12x^3).

Front

What is the GCF of 16x^9, 8x^8, and 20x^7?

Back

4x^7.

Front

True or False: The factored form of 72x^5 - 72x^3 - 80x^2 is 8x^2(9x^3 - 9x - 10).

Back

True.

Front

Factor the polynomial 12x^5 + 16x^3.

Back

4x^3(3x^2 + 4).

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

If a polynomial is expressed as a product of its factors, what does it mean?

Back

It means the polynomial can be written as the multiplication of simpler polynomials or numbers.

Front

What is the GCF of the coefficients 25, 40, and 15?

Back

5.

Front

How do you factor out the GCF from a polynomial?

Back

Divide each term of the polynomial by the GCF and write it outside the parentheses.