Solve 8(x)^(4)-12(x)^(3)+16(x)^(2) | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$8 { x }^{ 4 } -12 { x }^{ 3 } +16 { x }^{ 2 }$$

Factor

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

Solution Steps

Factor out $4$.

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

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

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

Rewrite the complete factored expression. Polynomial $2x^{2}-3x+4$ is not factored since it does not have any rational roots.

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

Evaluate

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