Respuesta :

the correct answer is 2x^2(5x^3-8x^2+2)

Answer:

The factor form is [tex]\Rightarrow 2x^2(5x^3-8x^2+2)[/tex]

Step-by-step explanation:

Given: [tex]10x^5-16x^4+4x^2[/tex]

Factor the polynomial.

First we take common from each term and then factor trinomial

[tex]\Rightarrow 10x^5-16x^4+4x^2[/tex]

[tex]10x^5\rightarrow 2x^2\cdot 5x^3[/tex]

[tex]16x^4\rightarrow 2x^2\cdot 8x^2[/tex]

[tex]4x^2\rightarrow 2x^2\cdot 2[/tex]

So, [tex]2x^2[/tex] common from each term and write rest inside the parentheses.

[tex]\Rightarrow 2x^2(5x^3-8x^2+2)[/tex]

Hence, The factor form is [tex]\Rightarrow 2x^2(5x^3-8x^2+2)[/tex]