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Home » The Man with No Name: The Dark Legend Behind the Mysterious Stranger! - Baxtercollege

The Man with No Name: The Dark Legend Behind the Mysterious Stranger! - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Simplify \( (x^2 - 9)/(x + 3) \) and state any restrictions.
Factor the numerator using the difference of squares:
\[ x^2 - 9 = (x - 3)(x + 3) \]
The expression simplifies to:
\[ rac{(x - 3)(x + 3)}{x + 3} = x - 3 \]
Restriction: \( x
eq -3 \) (to avoid division by zero).
#### \( x - 3 \), \( x
Solve the system: \( 2x + y = 10 \) and \( x - y = 2 \).
Add the two equations to eliminate \( y \):

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Now, we solve the system:
3a + b &= 5, \\
5a + b &= 7.
Substitute \( a = 1 \) back into \( 3a + b = 5 \):
3(1) + b = 5 \implies b = 2.
Substitute \( a = 1 \) and \( b = 2 \) into \( a + b + c = 6 \):
+ 2 + c = 6 \implies c = 3.
Thus, the polynomial is \( f(x) = x^2 + 2x + 3 \).
Now, calculate \( f(x+1) \):
f(x+1) = (x+1)^2 + 2(x+1) + 3.

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