Question

Find $p\left(4\right)\text{and}p\left(-2\right)$ for the function $p\left(x\right)=x^4-7x^3+8x-6$.

Short answer

The value of $p\left(4\right)=-166\text{and}p\left(-2\right)=50$.

Step-by-step solution

Step 1. Write down the given information.

The given function is $p\left(x\right)=x^4-7x^3+8x-6$.

Step 2. Calculation.

Evaluating $p\left(4\right)\text{and}p\left(-2\right)$ by plugging $x=4\text{and}x=-2$ in given function $p\left(x\right)=x^4-7x^3+8x-6$.

$\begin{array}{c}p\left(x\right)=x^4-7x^3+8x-6....\left(\text{Given}\right)\\ p\left(4\right)={\left(4\right)}^4-7{\left(4\right)}^3+8\left(4\right)-6\\ =-166\\ \text{Now,}p\left(-2\right)={\left(-2\right)}^4-7{\left(-2\right)}^3+8\left(-2\right)-6\\ =50\end{array}$

Step 3. Conclusion.

The value of $p\left(4\right)=-166\text{and}p\left(-2\right)=50$.