Question

If \( x \to \infty \), then the value of \( x^4 + 3x^3 + 2x^2 - 11x - 6 \) is:

• A. \( \infty \)
• B. 1
• C. 2
• D. 0

Hint:

For large values of \( x \), the highest degree term in a polynomial dominates the value of the expression.

Answer 1

The Correct Option is A

Step 1: Evaluate the polynomial for large \( x \).
For large values of \( x \), the highest degree term dominates. Thus, the value of the polynomial approaches \( \infty \).
Thus, the correct answer is (1).