Solve 2x ^ 4 + 8x ^ 3 + 10x ^ 2 | 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

$$2x^{4}+8x^{3}+10x^{2}$$

Factor

$2x^{2}\left(x^{2}+4x+5\right)$

Solution Steps

Factor out $2$.

$$2\left(x^{4}+4x^{3}+5x^{2}\right)$$

Consider $x^{4}+4x^{3}+5x^{2}$. Factor out $x^{2}$.

$$x^{2}\left(x^{2}+4x+5\right)$$

Rewrite the complete factored expression. Polynomial $x^{2}+4x+5$ is not factored since it does not have any rational roots.

$$2x^{2}\left(x^{2}+4x+5\right)$$

Evaluate

$2x^{2}\left(x^{2}+4x+5\right)$