Final answer:
The factored form of the expression 9n² + 29n + 6 is (3n + 2)(3n + 3).
Step-by-step explanation:
An algebraic expression is a mathematical phrase involving numbers, variables, and operations (such as addition, subtraction, multiplication, division, and exponentiation). These expressions can represent quantities, formulas, or relationships and are used extensively in algebra.
The expression 9n² + 29n + 6 can be factored completely as (3n + 2)(3n + 3).
To factor the expression, we need to find two numbers that multiply to give the product of the coefficient of the squared term (9) and the constant term (6), and add up to the coefficient of the linear term (29).
In this case, the numbers are 2 and 3. Therefore, the factored form of the expression is (3n + 2)(3n + 3).