Questions: Factor out the greatest common factor from the following polynomial θ(x+9)+a(x+9)

Factor out the greatest common factor from the following polynomial θ(x+9)+a(x+9)
Transcript text: Factor out the greatest common factor from the following polynomial \[ \theta(x+9)+a(x+9) \]
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Solution

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Solution Steps

Step 1: Identify the common factor

The given polynomial is: \[ \theta(x+9) + a(x+9) \] Both terms in the polynomial contain the factor \( (x+9) \).

Step 2: Factor out the common factor

Since \( (x+9) \) is common to both terms, it can be factored out: \[ \theta(x+9) + a(x+9) = (x+9)(\theta + a) \]

Step 3: Write the final factored form

The polynomial is now expressed in its factored form as: \[ (x+9)(\theta + a) \]

Final Answer

\(\boxed{(x+9)(\theta + a)}\)

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