Question

Find $p\left(4\right)\text{and}p\left(-2\right)$ for the function $p\left(x\right)=7x^2-9x+10$.

Short answer

The value of $p\left(4\right)=86\text{and}p\left(-2\right)=56$.

Step-by-step solution

Step 1. Write down the given information.

The given function is $p\left(x\right)=7x^2-9x+10$.

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 $p\left(x\right)=7x^2-9x+10$.

$\begin{array}{c}p\left(x\right)=7x^2-9x+10....\left(\text{Given}\right)\\ p\left(4\right)=7{\left(4\right)}^2-9\left(4\right)+10\\ =86\\ \text{Now,}p\left(-2\right)=7{\left(-2\right)}^2-9\left(-2\right)+10\\ =56\end{array}$

Step 3. Conclusion.

The value of $p\left(4\right)=86\text{and}p\left(-2\right)=56$.