Factoring Polynomials Area Model

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)

• (2x + 9)(x + 5)

• (2x - 5)(x - 9)

• (2x - 5)(x + 9)

A rectangle has an area of 4x² +19x + 12 and a length of (x + 4). What is the width?

• 4x - 3

• 4x + 3

• 2x + 6

• 2x + 3

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

Express the area of the entire rectangle.Your answer should be a polynomial in standard form.

Express the area of the entire rectangle. Your answer should be a polynomial in standard form.

Factor as the product of two binomials.

Factor as the product of two binomials.

(5c-2)(3c²-5c+4)

• 15c³-31c⁴+30c²-8

• 15c³-19c²+10c-8

• 15c³-31c²+30c-8

• 15c³-31c²+30c+8