(Grade 8 - Quarter 1) FACTORING PERFECT SQUARE TRINOMIALS

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication. To expand any binomial, we can apply one of the following patterns. (𝑎+𝑏)^2=𝑎^2+2𝑎𝑏+𝑏^2 (𝑎−𝑏)^2=𝑎^2−2𝑎𝑏+𝑏^2 The reverse of this expansion process is a form of factoring. If we rewrite the equations in the reverse order, we will have patterns for factoring polynomials of the form 𝑎^2+2𝑎𝑏+𝑏^2=(𝑎+𝑏)^2 𝑎^2−2𝑎𝑏+𝑏^2=(𝑎−𝑏)^2 Expressions of this form are called perfect square trinomials. The name reflects the fact that this type of three termed polynomial can be expressed as a perfect square! #math #mathematics #algebra #factoring #perfectsquare #perfectsquaretrinomials