Question

1. $(3x^2 + x - 6) + (x^2 + 4x + 10)$

Explanation:

Step1: Remove parentheses

Since we are adding two polynomials, we can remove the parentheses: \(3x^2 + x - 6 + x^2 + 4x + 10\)

Step2: Combine like terms

• For \(x^2\) terms: \(3x^2+x^2 = 4x^2\)
• For \(x\) terms: \(x + 4x=5x\)
• For constant terms: \(-6 + 10 = 4\)

Step3: Write the result

Combine the combined like terms: \(4x^2+5x + 4\)

Answer:

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