Question

find the sum: (2x² + x + 3) + (3x² + 2x + 1)

a. 5x⁴ + 2x + 4
b. 3x² + 5x + 4
c. 5x² + 3x + 4
d. 6x⁴ + 2x + 3

Explanation:

Step1: Combine like terms for \(x^2\)

\(2x^2 + 3x^2 = (2 + 3)x^2 = 5x^2\)

Step2: Combine like terms for \(x\)

\(x + 2x = (1 + 2)x = 3x\)

Step3: Combine constant terms

\(3 + 1 = 4\)

Step4: Combine all results

\(5x^2 + 3x + 4\)

Answer:

C. \(5x^2 + 3x + 4\)