Factoring Polynomials

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Factoring Polynomials

A noun is a word that functions as the name of some specific thing or set of things, such as living creatures, objects, places, actions, qualities, states of existence, or ideas.

Factoring by Grouping

A concrete noun is a noun that can be identified through one of the five senses (taste, touch, sight, hearing, smell).

we can factor a polynomial by grouping, first group the first two terms together, and then the last two terms together. secondly, factor out a GCF from each separate binomial. Lastly factor out the common binomial.

Subtopic

DIFFERENCE OF SQUARES

Possessive nouns are nouns which possess something, normally another noun.

We can factor it as: (a2 – b2) = (a + b)(a – b)

When an expression can be viewed as the difference of two perfect squares.

Trinomial Factoring

A noun which cannot be identified by using one of the five senses (taste, touch, sight, hearing, smell).

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for PST or called PERFECT SQUARE TRINOMIAL this is the formula.

(a2 + 2ab + b2) = (a + b)2 (a2 - 2ab + b2) = (a - b)2

When factoring a simple trinomial this is the formula.

(ax2 + bx + c)

GCF

Irregular nouns are nouns which don’t follow a spelling pattern when pluralized.

how to find the GCF

To find the GCF of a set of numbers, list all the factors of each number. The greatest factor appearing on every list is the GCF. For example, to find the GCF of 6 and 15, first list all the factors of each number.

Short for Greatest Common Factor