Question

What is the Greatest Common Factor (GCF) of a polynomial?

a. The sum of coefficients in the polynomial
b. The product of coefficients in the polynomial
c. A factor that divides each of the coefficients in the polynomial
d. The largest exponent in the polynomial

Answer 1

The Greatest Common Factor (GCF) of a polynomial is the largest factor that divides evenly into each of the coefficients in the polynomial.

Step-by-step explanation:

The Greatest Common Factor (GCF) of a polynomial refers to the largest factor that divides evenly into each of the coefficients in the polynomial. It is not related to the sum or product of the coefficients, or the largest exponent in the polynomial.

For example, let's consider the polynomial 2x^2 + 4x. The GCF of this polynomial is 2, because 2 is the largest factor that divides evenly into both 2 and 4.

In summary, the GCF of a polynomial is the largest factor that divides evenly into each of the coefficients in the polynomial.