Question

How can a polynomial expression be factored completely?

Answer 1

Polynomials can be factored via the following methods:

• Grouping
- A polynomial is grouped into equivalent, even terms to be factored.

• GCF
- The GCF of all terms in the polynomial is pulled out front to distribute to these terms, creating an equivalent, factored polynomial.

• Quadratic factorization
- A trinomial polynomial of degree 2 is factored using the quadratic factoring method or quadratic formula.

• Cubic and squared polynomial methods
- A polynomial is factored into a difference of squares, sum of cubes, or difference of cubes.

Answer 2

Explanation:

To factor the GCF out of a polynomial, we do the following:

Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.

hope it helps!