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The problem asks to find the remainder when the polynomial \( x^4 + 3x^3 + 5x^2 - 4 \) is divided by \( (x - 3) \). To solve this, we can use the **Remainder Theorem**. 

According to the Remainder Theorem, the remainder of dividing a polynomial \( f(x) \) by \( (x - a) \) is \( f(a) \). Here, \( a = 3 \).

The polynomial is:
\[
f(x) = x^4 + 3x^3 + 5x^2 - 4
\]

We need to evaluate \( f(3) \):

\[
f(3) = (3)^4 + 3(3)^3 + 5(3)^2 - 4
\]

Let me calculate that for you.The remainder when \( x^4 + 3x^3 + 5x^2 - 4 \) is divided by \( (x - 3) \) is \( 203 \).

Therefore, the correct answer is option **B (203)**.

Do you have any questions or would you like further details? Here are some related questions:

1. How does the Remainder Theorem work for other types of polynomials?
2. What is the Factor Theorem, and how does it relate to the Remainder Theorem?
3. How would the process differ if dividing by a quadratic expression instead of a linear one?
4. How can synthetic division be used to verify the remainder?
5. What happens if you divide by \( (x - a) \) where \( a \) is a negative number?

**Tip:** Always plug in the value directly into the polynomial when applying the Remainder Theorem to simplify the process.

Jika suku banyak x^4 + 3x^3 + 5x^2 - 4 dibagi dengan (x - 3) akan bersisa?

Learn how to find the remainder when the polynomial x^4 + 3x^3 + 5x^2 - 4 is divided by (x - 3) using the Remainder Theorem. A step-by-step solution is provided, suitable for high school students studying advanced algebra.

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