Question

unit 7 review assignment
topic 2: simplifying polynomials

1. (7m⁴ + 6m² + 7) + (2m⁴ − 3m² + 1)

Explanation:

Step1: Remove parentheses

Since we are adding two polynomials, we can remove the parentheses: \(7m^4 + 6m^2 + 7 + 2m^4 - 3m^2 + 1\)

Step2: Combine like terms

• For \(m^4\) terms: \(7m^4+2m^4 = (7 + 2)m^4=9m^4\)
• For \(m^2\) terms: \(6m^2-3m^2=(6 - 3)m^2 = 3m^2\)
• For constant terms: \(7 + 1=8\)

Step3: Write the simplified polynomial

Combine the results from the like - term combinations: \(9m^4+3m^2 + 8\)

Answer:

\(9m^4 + 3m^2+8\)