Problem 13
Question
Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$8 x+8$$
Step-by-Step Solution
Verified Answer
The factored form of the polynomial \(8x + 8\) using the greatest common factor is \(8(x+1)\).
1Step 1: Identify the GCF
The first step is to identify the greatest common factor (GCF) for \(8x\) and \(8\). Here, observe that the GCF between the coefficient of \(x\) which is \(8\), and the constant term which is \(8\), is \(8\). This is because \(8\) can divide both \(8x\) and \(8\) evenly.
2Step 2: Factor out the GCF
The next step is to factor out the greatest common factor (GCF) from each term in the polynomial. Here, the GCF is \(8\). Factoring this out from \(8x + 8\) we obtain \(8(x+1)\).
Other exercises in this chapter
Problem 13
Factor each difference of two squares. $$x^{4}-9$$
View solution Problem 13
Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor eac
View solution Problem 13
Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}-22 x
View solution Problem 14
Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}+3 x-28$$
View solution