Multiplying Polynomials Area Model

Multiplying Polynomials

The Steps

• Write down the problem

• Count the terms in each set of parenthesis

• Draw your area model

• Find the area of each rectangle

• Combine like terms by adding

• Write your answer

 $\left(x-3\right)\left(x+9\right)$  

Using box method

 $\left(x-3\right)\left(x+9\right)$  

•  $x^2+6x-27$  

 $\left(2x+11\right)\left(4x-13\right)$  

Using Vertical Method

 $\left(2x+11\right)\left(4x-13\right)$  

•  $8x^2+18x-143$  

Multiple Choice

(x + 5)(x + 4)

• x² + x + 20
• x² + 20x + 9
• x² + 9x + 20
• x² - 9x + 54

Multiple Choice

(x - 5)(x + 1)

• x² - 4x - 5
• x² + 6x - 5
• x² - 5x - 4
• x² - 4x - 4

Multiple Choice

(2x − 3)(2x + 3)

• 4x² − 12x + 9

• 4x² − 9

• 4x² + 9

• 4x² + 6x − 9

Multiple Choice

(3x − 6)(7x + 7)

• 21x² − 63x + 42
• 21x² − 21x − 42
• 21x² − 42
• 21x² + 63x + 42

Multiple Choice

(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2