Chapter 7, Problem 28CR

To determine

Factor the expression, $5x+12$

Answer to Problem 28CR

The factored form of $5x+12$ is cannot be factored.

Explanation of Solution

Given Information:

The expression: $5x+12$

Concept Used:

• The GCF (Greatest Common Factor) of a list of integers is the largest integer that is a factor of all the integers in the list.
• The GCF (Greatest Common Factor) of a list of common variable factors raised to powers is the variable raised to the smallest exponent in the list.
• Distributive property: $a\left(b+c\right)=a\cdot b+a\cdot c$

To factor the given polynomial, we will factor out the GCF from each term and write the remaining factors of each term as a product of this GCF.

Here observe that both the terms have not a common factor . So we cannot factor out the common factor from each term, we can write it as same

  $5x+12$

Thus, the factored form of $5x+12$ is cannot be factored.