What do we mean by Perfect Square
Trinomial?
What do we mean by Perfect Square
Trinomial?
𝟐
𝒙 +𝟖𝒙 + 𝟏𝟔
How to factor Perfect Square
Trinomial?
𝟐
𝒙 −𝟏𝟔𝒙 + 𝟔𝟒
𝒙 − 𝟖 (𝒙 − 𝟖)
How to factor Perfect Square
Trinomial?
𝟐
𝒙 +𝟖𝒙 + 𝟏𝟔
𝒙 + 𝟒 (𝒙 + 𝟒)
𝟐𝒙 + 𝟑 𝟐𝒙 + 𝟑
𝟐
(𝟐𝒙 + 𝟑)
𝟑𝒙 − 𝟏𝟏
𝟑𝒙 − 𝟏𝟏
𝟐
(𝟑𝒙 − 𝟏𝟏)
A. How to determine if the trinomial is
perfect square?
Multiply 2 to the square root of the last term
B. How to factor perfect square trinomial?
Get the square root of the first and last term and COPY the sign of the
middle term
C. Describe the factors of a Perfect Square
Trinomial?
The terms are the same
Identify which equations are perfect square trinomial.
Find the factors of each Perfect Square Trinomials
𝒙+𝟖
𝒙+𝟖
𝒙 − 𝟏𝟎
𝒙 − 𝟏𝟎
𝒙−𝟑
𝒙−𝟑
𝒙 + 𝟏𝟑
𝒙 + 𝟏𝟑
𝟏
𝒙+
𝟐
𝟐
𝟐
𝟖. 𝒙 + 𝟏𝟐𝒙 + 𝟑𝟔
𝟗.
𝟐
𝒙
− 𝟐𝒙 + 𝟏
𝒙−𝟏
𝒙−𝟏
𝟏𝟏.
𝟏𝟐.
𝟐
𝒙
𝟐
𝒙
− 𝟑𝟎𝒙 +225
− 𝟏𝟖𝒙 + 𝟖𝟏
𝒙−𝟗
𝒙−𝟗
𝟖𝟏
𝟐
𝟏𝟒. 𝒙 + 𝟗𝒙 +
𝟒
𝟏𝟓.
𝟐
𝒙
− 𝟐𝟔𝒙 + 𝟏𝟔𝟗
𝒙 − 𝟏𝟑
𝒙 − 𝟏𝟑