Question

Find $p\left(0\right),p\left(1\right)$ and $p\left(2\right)$ for the following polynomial: $p\left(x\right)=x^3$

Answer 1

Step 1. Define a Polynomial

A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation. The degree indicates the highest exponential power in the polynomial.

Step 2. Find the required values

Given equation $p\left(x\right)=x^3$

Put the value $p\left(0\right)$ in the given equation

$p\left(0\right)={\left(0\right)}^3=0$

$\therefore p\left(0\right)=0$

Put the value $p\left(1\right)$ in the given equation

$$\begin{gathered} p\left(1\right)={\left(1\right)}^3 \\ =1 \\ \therefore p\left(1\right)=1 \end{gathered}$$

Put the value $p\left(2\right)$ in the given equation

$$\begin{gathered} p\left(2\right)={\left(2\right)}^3 \\ =8 \end{gathered}$$

$\therefore p\left(2\right)=8$

Hence, $p\left(0\right)=0$, $p\left(1\right)=1$ and $p\left(2\right)=8$