7.4 Factoring Polynomials -GCF

Front

What does GCF stand for in the context of factoring polynomials?

Back

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

Front

How do you factor the expression 2x + 18 using GCF?

Back

You factor out the GCF, which is 2, resulting in 2(x + 9).

Front

What is the GCF of the numbers 12 and 27?

Back

The GCF of 12 and 27 is 3.

Front

How do you factor the expression 6x² - 24x?

Back

You factor out the GCF, which is 6x, resulting in 6x(x - 4).

Front

What is the first step in factoring a polynomial using GCF?

Back

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

Front

How do you factor the expression x² - 5x?

Back

You factor out the GCF, which is x, resulting in x(x - 5).

Front

What is the GCF of the terms 2n² and -8n³?

Back

The GCF of 2n² and -8n³ is 2n².

Front

How do you factor the expression 2n² - 8n³ using GCF?

Back

You factor out the GCF, which is 2n², resulting in 2n²(1 - 4n).

Front

What is the importance of factoring polynomials in algebra?

Back

Factoring polynomials is important for simplifying expressions, solving equations, and finding roots.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.