(Nov. 19, 2024) 2nd block: Factoring Polynomials Using 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 two or more numbers or expressions.

Front

How do you find the GCF of two monomials?

Back

To find the GCF of two monomials, identify the common variables and their lowest powers, and multiply them together.

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

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

Factor the expression: 15x + 10.

Back

5(3x + 2).

Front

What is the GCF of the terms 4a^3b^2 and 8a^2b^3?

Back

The GCF is 4a^2b^2.

Front

How do you factor out the GCF from a polynomial?

Back

To factor out the GCF, divide each term of the polynomial by the GCF and write the result in parentheses.

Front

Factor the expression: 20x^2y - 5xy^2.

Back

5xy(4x - y).

Front

What is the GCF of the coefficients in the polynomial 9x^2 + 12x?

Back

The GCF of the coefficients 9 and 12 is 3.

Front

What is the GCF of the terms 6x^2y and 9xy^2?

Back

The GCF is 3xy.