Factoring GCF of polynomials

Front

What does GCF stand for in the context of polynomials?

Back

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

Front

How do you find the GCF of two or more terms?

Back

To find the GCF, identify the common factors of the terms and select the highest one.

Front

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

Back

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

Front

Factor the expression: 12x + 18.

Back

6(2x + 3).

Front

What is the GCF of the terms 8x and 24?

Back

The GCF is 8.

Front

How do you factor the expression 10x³ - 15x using the GCF?

Back

First, find the GCF, which is 5x. Then factor it out: 5x(2x² - 3).

Front

What is the GCF of the polynomial 39y^5 + 12y^4 - 3y^3?

Back

The GCF is 3y^3.

Front

Factor the expression: 2n³ + 16n + 12.

Back

2(n³ + 8n + 6).

Front

What is the GCF of the coefficients in the expression 10x + 15?

Back

The GCF of the coefficients 10 and 15 is 5.

Front

How can you check if your factored expression is correct?

Back

You can check by distributing the factors back to see if you obtain the original expression.