Factoring GCF Polynomials

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides all the coefficients of a polynomial without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 7 and 49?

Back

7

Front

What is the GCF of 5x^2 and 20x?

Back

5x

Front

How do you factor a polynomial using the GCF?

Back

Identify the GCF of the terms, then factor it out of the polynomial.

Front

Factor the polynomial: 7x + 49

Back

7(x + 7)

Front

Factor the polynomial: 5x^2 + 20x

Back

5x(x + 4)

Front

Factor the polynomial: w^3 + 3w

Back

w(w^2 + 3)

Front

Factor the polynomial: 10x + 15

Back

5(2x + 3)

Front

What is the GCF of 3x^3 + 9x^2 - 15x?

Back

3x