Question
Factor the given polynomial completely \( x(x+13)-2(x+13) \) Select the correct choice below and fill in any answer be A. \( x(x+13)-2(x+13)=\square \) B. The polynomial cannot be factored
Ask by Harris Coles. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x(x + 13) - 2(x + 13) = (x + 13)(x - 2) \)
Solution
To factor the given polynomial \( x(x + 13) - 2(x + 13) \) completely, follow these steps:
1. **Identify the Common Factor:**
Both terms \( x(x + 13) \) and \( -2(x + 13) \) contain the common factor \( (x + 13) \).
2. **Factor Out the Common Term:**
\[
x(x + 13) - 2(x + 13) = (x + 13)(x - 2)
\]
So, the correct choice is:
**A. \( x(x+13)-2(x+13)= (x + 13)(x - 2) \)**
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Simplify this solution Bonus Knowledge
Let's factor the polynomial \( x(x+13)-2(x+13) \). Notice that both terms share a common factor of \( (x+13) \): \( x(x+13)-2(x+13) = (x+13)(x-2) \). So, the complete factored form is \( (x+13)(x-2) \). A. \( x(x+13)-2(x+13)=(x+13)(x-2) \)
