Transcript Multiplying Polynomials with generic rectangles

Multiplying Polynomials
Applying Generic Rectangles
Creating a Generic Rectangle
The Concept
The Concept
The Concept
The Concept
(2x
+ 1)
(x + 3)
The Concept
(2x
+ 1)
(x + 3)
The Concept
(2x
+ 1)
(x + 3)
𝑥2
𝑥2
x
x
x
x
x
x
x
1
1
1
= 𝟐𝐱 𝟐 +𝟕𝐱 + 𝟑
The Concept
(2x
+ 1)
(x + 3)
𝑥2
𝑥2
x
x
x
x
x
x
x
1
1
1
= 𝟐𝐱 𝟐 +𝟕𝐱 + 𝟑
Using a Generic Rectangle
Using a Generic Rectangle
Using a Generic Rectangle
(7x + 15)
(2x + 5)
Using a Generic Rectangle
(7x + 15)
(2x + 5)
𝟏𝟒𝒙𝟐 𝟑𝟎𝒙
𝟑𝟓𝒙 𝟕𝟓
Using a Generic Rectangle
(7x + 15)
(2x + 5)
𝟏𝟒𝒙𝟐 𝟑𝟎𝒙
𝟑𝟓𝒙 𝟕𝟓
Final Example
Final Example
(3x2 – 2x + 1)
(x + 3)
Final Example
(3x2 – 2x + 1)
(x + 3)
3𝒙𝟑 -2𝒙𝟐
𝟐
9𝒙
-6𝒙
𝒙
𝟑
Final Example
(3x2 – 2x + 1)
(x + 3)
3𝒙𝟑 -2𝒙𝟐
𝟐
9𝒙
-6𝒙
𝒙
𝟑