GCF Polynomials

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

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

Back

To find the GCF of monomials, identify the common factors in the coefficients and the variables, taking the lowest power for each variable.

Front

Factor the polynomial: 18a² - 15a

Back

3a(6a - 5)

Front

Factor by GCF: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

What is the GCF of the trinomial 6x⁵y⁴ + 24x⁶y² - 36x³y³?

Back

6x³y²

Front

Factor the expression: x² - 5x

Back

x(x - 5)

Front

Factor by GCF: 56a³ - 8a

Back

8a(7a² - 1)

Front

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

Back

Identify the GCF of all the terms in the polynomial.

Front

Why is factoring by GCF important in polynomial expressions?

Back

Factoring by GCF simplifies the expression and makes it easier to solve or further factor.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.