How to solve P(X)=4X-5X+6

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)=4X-5X+6 | Equatix

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Question

$$P(X)=4X-5X+6$$

Differentiate w.r.t. X

$-1$

Steps Using Derivative Rule for Sum

Combine $4X$ and $-5X$ to get $-X$.

$$\frac{\mathrm{d}}{\mathrm{d}X}(-X+6)$$

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 $nax^{n-1}$.

$$-X^{1-1}$$

Subtract $1$ from $1$.

$$-X^{0}$$

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

$$-1$$

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Evaluate

$6-X$

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Example

Question

Differentiate w.r.t. X

Steps Using Derivative Rule for Sum

Evaluate

Solution Steps