Question

which polynomial does this sum of tiles represent? + a. $x^2 + 4x + 5$ b. $4x^2 + 4x + 8$ c. $2x^2 + 4x + 6$ d. $2x^2 + 2x + 4$ © 2026 edmentum. all rights reserved.

Explanation:

Step1: Count \( x^2 \) tiles

Left side: 1 \( x^2 \) tile. Right side: 1 \( x^2 \) tile. Total: \( 1 + 1 = 2 \) \( x^2 \) terms.

Step2: Count \( x \) tiles

Left side: 2 \( x \) tiles. Right side: 2 \( x \) tiles. Total: \( 2 + 2 = 4 \) \( x \) terms.

Step3: Count constant (1) tiles

Left side: 2 constant tiles. Right side: 4 constant tiles. Total: \( 2 + 4 = 6 \) constant terms.

Step4: Form the polynomial

Combine the terms: \( 2x^2 + 4x + 6 \).

Answer:

C. \( 2x^2 + 4x + 6 \)