##### Asked by: Eufrasio Nell

asked in category: General Last Updated: 25th February, 2020# How do we factor common Monomial factor?

**factoring**a polynomial, the goal is that the GCF of all the terms is one

**factor**. In 6x2 + 12x, 6x is the greatest

**common factor**, so 6x2 + 12x = 6x(x + 2). Monomials such as 6x, and polynomials such as x + 2 that cannot be factored into polynomials of a lower degree, are called prime polynomials.

Beside this, what's a Monomial factor?

A **monomial** is an expression that is the product of constants and nonnegative integer powers of x, like 3 x 2 3x^2 3x2 . A polynomial is a sum of **monomials**. You can write the complete factorization of a **monomial** by writing the prime factorization of the coefficient and expanding the variable part.

Also, how do you factor a quadratic equation? **With the quadratic equation in this form:**

- Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.
- Step 2: Rewrite the middle with those numbers:
- Step 3: Factor the first two and last two terms separately:

Likewise, what are the examples of common Monomial factor?

When **factoring** a polynomial, the goal is that the GCF of all the terms is one **factor**. In 6x2 + 12x, 6x is the greatest **common factor**, so 6x2 + 12x = 6x(x + 2). Monomials such as 6x, and polynomials such as x + 2 that cannot be factored into polynomials of a lower degree, are called prime polynomials.

How do you factor completely?

**Factoring completely is a three step process:**

- Factor a GCF from the expression, if possible.
- Factor a Trinomial, if possible.
- Factor a Difference Between Two Squares as many times as possible.