Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 19, 2024

Find the value of $p(0)$ when $p(z)=2z^3-5z$ .

STEP 1

Assumptions
1. The polynomial is $p(z) = 2z^3 - 5z$ .
2. We need to find the value of $p(z)$ when $z = 0$ .

STEP 2

To find $p(0)$ , we substitute $z = 0$ into the polynomial $p(z)$ .
$p(0) = 2(0)^3 - 5(0)$

STEP 3

Calculate the value of each term when $z = 0$ .
$2(0)^3 = 2 \cdot 0 = 0$ $-5(0) = -5 \cdot 0 = 0$

STEP 4

Combine the results of the calculations for each term.
$p(0) = 0 - 0$

STEP 5

Calculate the value of $p(0)$ .
$p(0) = 0$
The value of $p(0)$ is $0$ .

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