1. $$ 4 x $$ $$ 6 x^{3}+4 x $$ $$ 2 x^{2}+2 $$ $$ 12 x^{3}+8 x $$ $$ 3 x^{2}+2 $$ $$ 8 x $$ Mrs. Gutierrez placed an expression on the board and asked students to set up the division problem and determine the quotient. $$ \left(12 x^{3}+8 x\right) \div 4 x $$ Complete the statement about the expression. You may not use all the options. In the expression, the divisor is $$ \square $$ , the quotient is $$ \square $$ , and the dividend is $$ \square $$ ? (c) 2025 Renaissance Learning, Inc. All Rights Reserve

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UpStudy AI · Accepted Answer

To analyze the division problem:

$$
\left(12 x^{3}+8 x\right) \div 4 x
$$

We need to identify the **divisor**, **quotient**, and **dividend** from the given options.

1. **Dividend**: This is the expression being divided.  
   - **Dividend**: $$12 x^{3} + 8 x$$

2. **Divisor**: This is the expression by which the dividend is divided.  
   - **Divisor**: $$4 x$$

3. **Quotient**: This is the result of the division.  
   - **Quotient**: $$3 x^{2} + 2$$

Putting it all together:

- **Divisor**: $$4 x$$
- **Quotient**: $$3 x^{2} + 2$$
- **Dividend**: $$12 x^{3} + 8 x$$

**Complete Statement:**

In the expression, the divisor is $$4 x$$, the quotient is $$3 x^{2} + 2$$, and the dividend is $$12 x^{3} + 8 x$$.
In the expression, the divisor is $$4x$$, the quotient is $$3x^{2} + 2$$, and the dividend is $$12x^{3} + 8x$$.

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