Chapter 8.2, Problem 16P

Find the GCF of the terms of each polynomial:

$15x+27$

To determine

To find: The GCF of the terms of the polynomial $15x+27$

Answer to Problem 16P

The GCF of the terms of the polynomial $15x+27$ is 3.

Explanation of Solution

Given information: $15x+27$

Calculation:

The prime factors of each term of the polynomial are given by,

  $15x=3\cdot 5\cdot x$

  $27=3\cdot 3\cdot 3$

The factor $3$ is common to both the terms $15x$ and $27$ .

Thus, GCF of the terms of the polynomial $15x+27$ is 3.