Question
Given the function \( p \) described by \( p(x)=x^{3}-x \), find \( p(-8) \) \( p(-8)=\square \)
Ask by Deleon Washington. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( p(-8) = -504 \)
Solution
To find \( p(-8) \) for the function \( p(x) = x^3 - x \), follow these steps:
\[
p(-8) = (-8)^3 - (-8)
\]
1. **Calculate \((-8)^3\):**
\[
(-8)^3 = -8 \times -8 \times -8 = -512
\]
2. **Subtract \(-8\):**
\[
p(-8) = -512 - (-8) = -512 + 8 = -504
\]
So,
\[
p(-8) = -504
\]
**Answer:** \( p(-8) = -504 \)
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Extra Insights
To find \( p(-8) \), we need to substitute \(-8\) into the function \( p(x) = x^3 - x \). Calculating: \[ p(-8) = (-8)^3 - (-8) \] \[ = -512 + 8 \] \[ = -512 + 8 = -504 \] So, \( p(-8) = -504 \).