In this lesson on Factoring Perfect Squares, you will begin with what exactly is a perfect square before moving onto solving equations with the square root property.factoring is the decomposition of an object.The aim of factoring is usually to reduce something to 'basic building blocks,' such as numbers to prime numbers, or polynomials to irreducible polynomials
The special rules
for factoring a perfect square trinomial are a2 + 2ab +
b2 = (a + b)(a + b) and a2 - 2ab + b2
= (a - b)(a - b).
Learn to recognize
perfect square trinomials in more complicated forms. This is an
important skill you will need in later work in this course.
require several methods to be factored completely. Always start by
finding the Greatest Common Factor. Then try other methods.
You can solve some
quadratic equations by factoring the trinomial and then using the
zero product property.
The square root
property states that if x2 = n, then x = √n or x =
-√n. You can use this property to solve some quadratic equations.
Factoring Perfect Squares
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.