Factoring Polynomials - GCF

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 all the terms in a polynomial.

Front

How do you find the GCF of a set of terms?

Back

To find the GCF, identify the common factors of each term and select the highest power of each common factor.

Front

Factor the polynomial: 56a^3 - 8a.

Back

8a(7a^2 - 1)

Front

What is the GCF of the polynomial -45k^3 - 18k^2 + 9k?

Back

9k

Front

What is the GCF of the polynomial -28a^6 + 20a^4 - 40a^3?

Back

4a^3

Front

What is the GCF of the polynomial 14b^3 + 21b^2 - 42b?

Back

7b

Front

Factor the GCF from the polynomial 63x^4 - 7x^2 + 28x.

Back

7x(9x^3 - x + 4)

Front

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

Back

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

Front

Why is factoring out the GCF important in polynomial expressions?

Back

Factoring out the GCF simplifies the polynomial and makes it easier to solve or further factor.

Front

Can the GCF be a negative number?

Back

Yes, the GCF can be negative, but it is typically expressed as a positive value.