Factor Polynomials Using GCF

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 12 and 30?

Back

The GCF of 12 and 30 is 6.

Front

What is the GCF of the monomials 4x^3 and 8x^2?

Back

The GCF of 4x^3 and 8x^2 is 4x^2.

Front

How do you factor out the GCF from a polynomial?

Back

To factor out the GCF from a polynomial, identify the GCF of the terms, divide each term by the GCF, and express the polynomial as the product of the GCF and the resulting polynomial.

Front

Factor the polynomial: 6x^2 + 9x.

Back

3x(2x + 3).

Front

What is the GCF of the polynomial terms 15a^2b and 25ab^2?

Back

The GCF is 5ab.

Front

Factor the polynomial: 10x^3 - 5x^2.

Back

5x^2(2x - 1).

Front

What is the GCF of 18t^4, 24t^3, and 30t^2?

Back

The GCF is 6t^2.