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))$$= \square x^2 + \square x + \square$

Explanation:

Step1: Remove inner parentheses

$(3x + 4) + (5x^2 - 1 + 2x + 6)$

Step2: Combine like terms inside

$(3x + 4) + (5x^2 + 2x + (-1+6))$
$(3x + 4) + (5x^2 + 2x + 5)$

Step3: Remove remaining parentheses

$3x + 4 + 5x^2 + 2x + 5$

Step4: Combine all like terms

$5x^2 + (3x+2x) + (4+5)$
$5x^2 + 5x + 9$

Answer:

$5x^2 + 5x + 9$
(The blanks are filled with 5, 5, 9 respectively)