https://file.aiquickdraw.com/mathbot/file/1728933841075ool5odlv.jpg

The expression you need to evaluate is:

\[
3x^3 - 2x^2 + 10
\]
with \( x = 4 \).

Let’s evaluate it step by step.

### Step 1: Substitute \( x = 4 \) into the expression.

\[
3(4)^3 - 2(4)^2 + 10
\]

### Step 2: Simplify the powers.

\[
3(64) - 2(16) + 10
\]

### Step 3: Multiply.

\[
192 - 32 + 10
\]

### Step 4: Perform the addition and subtraction.

\[
192 - 32 = 160
\]
\[
160 + 10 = 170
\]

Thus, the value of the expression when \( x = 4 \) is **170**, so the correct answer is:

\[
\boxed{B. \ 170}
\]

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

1. What happens if you change \( x \) to another value in the expression?
2. How do you factor a cubic expression like \( 3x^3 - 2x^2 + 10 \)?
3. Can you explain the general process for solving polynomial equations?
4. How would you evaluate the same expression if there was a fourth-degree term?
5. What if you graph the function \( y = 3x^3 - 2x^2 + 10 \)? What does it look like?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when evaluating expressions like this.

Evaluate the following expression for x = 4: 3x^3 - 2x^2 + 10

Learn how to evaluate the cubic polynomial expression 3x^3 - 2x^2 + 10 for x = 4, using key algebraic concepts. Follow a detailed step-by-step guide suitable for students in Grades 7-10.

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