Factor. 4z^3 + 8z^2 + 9z + 18 ______

Question

Bytelearn · Accepted Answer

Identify GCF: Step Title: Identify the GCF (Greatest Common Factor) Concise Step Description: Determine if there is a greatest common factor that can be factored out from all terms of the polynomial. Step Calculation: The GCF of 4z^3, 8z^2, 9z, and 18 is 1. Step Output: GCF: 1Check for Grouping: Step Title: Check for Factor by Grouping Concise Step Description: Since the polynomial has four terms, check if it can be factored by grouping. Step Calculation: Group the terms as (4z^3 + 8z^2) + (9z + 18). Step Output: Grouped terms: (4z^3 + 8z^2) and (9z + 18)Factor Each Group: Step Title: Factor Each Group Separately Concise Step Description: Factor out the common factors from each group. Step Calculation: For the first group, factor out 4z^2, resulting in 4z^2(z + 2). For the second group, factor out 9, resulting in 9(z + 2). Step Output: Factored groups: 4z^2(z + 2) and 9(z + 2)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Factor Concise Step Description: Since both groups contain the common binomial factor (z + 2), factor it out. Step Calculation: The factored form is (z + 2)(4z^2 + 9). Step Output: Factored Form: (z + 2)(4z^2 + 9)

Factor. $\newline$ $4z^3 + 8z^2 + 9z + 18$

Full solution

More problems from Factor polynomials

Related topics

Factor.\newline4z3+8z2+9z+184z^3 + 8z^2 + 9z + 184z3+8z2+9z+18

Factor. $\newline$ $4z^3 + 8z^2 + 9z + 18$