Question

given polynomials p(x), q(x), and r(x), p(x)+(q(x)+r(x))=(p(x)+q(x))+r(x). to verify the associative property of addition, begin by finding the sum of the polynomials: (3x + 4)+((5x^2 - 1)+(2x + 6)) = x^2+ x+

Explanation:

Step1: Simplify the inner - parentheses

First, simplify \((5x^{2}-1)+(2x + 6)\). Combine like - terms: \((5x^{2}-1)+(2x + 6)=5x^{2}+2x+(6 - 1)=5x^{2}+2x + 5\).

Step2: Add the remaining polynomial

Then, add \((3x + 4)\) to \(5x^{2}+2x + 5\). Combine like - terms: \((3x + 4)+(5x^{2}+2x + 5)=5x^{2}+(3x+2x)+(4 + 5)\).

Step3: Combine like - terms

\(5x^{2}+(3x+2x)+(4 + 5)=5x^{2}+5x + 9\).

Answer:

\(5\), \(5\), \(9\)