Question

Complete the area model to identify the quadratic expression it represents.

Answer 1

Define the length and the width of the rectangle
length = 5x + 4
width = 3x + 2

Determine the area
area = length × width
area = (5x + 4) (3x + 2)
area = (5x)(3x) + 2(5x) + 4(3x) + (4)(2)
area = 15x² + 10x + 12x + 8
area = 15x² + 22x + 8

The area of the rectangle is (15x² + 22x + 8) units²

Answer 2

15x^2 + 12x +10x + 8= 0  reduced 15x^2 +22x+ 8 = 0