How to solve P(x)=(x)^(3)-3x+5

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve P(x)=(x)^(3)-3x+5 | Equatix

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Question

$$P(x)= { x }^{ 3 } -3x+5$$

Differentiate w.r.t. x

$3\left(x^{2}-1\right)$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$3x^{3-1}-3x^{1-1}$$

Subtract $1$ from $3$.

$$3x^{2}-3x^{1-1}$$

Subtract $1$ from $1$.

$$3x^{2}-3x^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$3x^{2}-3$$

Show Solution

Evaluate

$x^{3}-3x+5$