Respuesta :
The factorization of [tex]\rm 1000x^6 -27[/tex] is [tex]\rm (10x^2 - 3)(100x^4 + 30x^2 + 9)[/tex].
Factorization;
Factorization is nothing but writing a number as the product of smaller numbers.
Given
Polynomial; [tex]\rm 1000x^6 -27[/tex]
To find the factorization the polynomial equates the equation with zero following all the steps given below.
Then,
The factor of the polynomial is;
[tex]\rm 1000x^6 -27=0\\\\ 1000x^6+300x^4+90x^2-300x^4-90x^2-27=0\\\\ 10x^2(100x^4+30x^2+9)-3(100x^4+30x^2+9)=0\\\\ (10x^2 - 3)(100x^4 + 30x^2 + 9)=0[/tex]
Hence, the factorization of [tex]\rm 1000x^6 -27[/tex] is [tex]\rm (10x^2 - 3)(100x^4 + 30x^2 + 9)[/tex].
To know more about factorization click the link given below.
https://brainly.com/question/17595467
