Question

check your understanding
problem 5
factor out the greatest common factor in the following polynomial.
$2x(x + 3) + 5(x + 3) = \square$
check
explain

Explanation:

Step1: Identify the common factor

Both terms \(2x(x + 3)\) and \(5(x + 3)\) have a common factor of \((x + 3)\).

Step2: Factor out the common factor

Using the distributive property \(ab+ac=a(b + c)\), where \(a=(x + 3)\), \(b = 2x\) and \(c=5\), we get:
\(2x(x + 3)+5(x + 3)=(x + 3)(2x + 5)\)

Answer:

\((x + 3)(2x + 5)\)