Question

the largest factor that can exactly divide each term of a polynomial is called the ______.
the algebraic technique used to simplify polynomials by finding the gcf is known as ______.
after extracting the gcf, the original polynomial is rewritten as the product of the gcf and the ______ polynomial.

Explanation:

1. The Greatest Common Factor (GCF) of a polynomial is the largest expression that divides every term of the polynomial evenly.
2. The process of simplifying polynomials by identifying and separating out the GCF is called factoring out the GCF.
3. When you factor out the GCF from a polynomial, the original polynomial is expressed as the product of the GCF and the polynomial that remains after dividing each original term by the GCF.

Answer:

1. Greatest Common Factor (GCF)
2. Factoring out the GCF
3. remaining