Solve (x)^(3)+2(x)^(4)-6x+5)\divx-3= | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$${ x }^{ 3 } +2 { x }^{ 4 } -6x+5) \div x-3=$$

Differentiate w.r.t. x

$8x^{3}+3x^{2}-6$

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 $nax^{n-1}$.

$$3x^{3-1}+4\times 2x^{4-1}-6x^{1-1}$$

Subtract $1$ from $3$.

$$3x^{2}+4\times 2x^{4-1}-6x^{1-1}$$

Multiply $4$ times $2$.

$$3x^{2}+8x^{4-1}-6x^{1-1}$$

Subtract $1$ from $4$.

$$3x^{2}+8x^{3}-6x^{1-1}$$

Subtract $1$ from $1$.

$$3x^{2}+8x^{3}-6x^{0}$$

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

$$3x^{2}+8x^{3}-6$$

Evaluate

$2x^{4}+x^{3}-6x+5$