Evaluate the expression for each value of .

(a)

(b)

SUBMIT ANSWER

Ask by Sanders Vega. in the United States

Jan 24,2025

Question

Evaluate the expression for each value of $$ x $$. $$ x^{3}-4 x^{2}-x+8 $$ (a) $$ x=4 $$ $$ \square $$ $$ 60 $$ (b) $$ x=-4 $$ $$ \square $$ $$ 52 $$ SUBMIT ANSWER

UpStudy AI · Accepted Answer

It appears there may be some errors in your evaluations of the expression $$ x^{3} - 4x^{2} - x + 8 $$. Let's re-evaluate the expression for each given value of $$ x $$.

---

### (a) $$ x = 4 $$

**Calculation:**
$$
\begin{align*}
x^{3} - 4x^{2} - x + 8 &= 4^{3} - 4(4)^{2} - 4 + 8 \
&= 64 - 4(16) - 4 + 8 \
&= 64 - 64 - 4 + 8 \
&= (64 - 64) + (-4 + 8) \
&= 0 + 4 \
&= 4
\end{align*}
$$

**Result:** $$ 4 $$

**Your Answer:** $$ 60 $$  
**Correction:** The correct value is **4**, not **60**.

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### (b) $$ x = -4 $$

**Calculation:**
$$
\begin{align*}
x^{3} - 4x^{2} - x + 8 &= (-4)^{3} - 4(-4)^{2} - (-4) + 8 \
&= -64 - 4(16) + 4 + 8 \
&= -64 - 64 + 4 + 8 \
&= (-64 - 64) + (4 + 8) \
&= -128 + 12 \
&= -116
\end{align*}
$$

**Result:** $$ -116 $$

**Your Answer:** $$ 52 $$  
**Correction:** The correct value is **-116**, not **52**.

---

### Summary

- **For $$ x = 4 $$:** The expression evaluates to **4**.
- **For $$ x = -4 $$:** The expression evaluates to **-116**.

If you have any further questions or need additional assistance with these calculations, feel free to ask!
For $$ x = 4 $$, the expression equals 4. For $$ x = -4 $$, the expression equals -116.

Evaluate the expression for each value of .

(a)

(b)

SUBMIT ANSWER

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