Respuesta :
The factorization of [tex]\rm 125x^9 + 64[/tex] is [tex]\rm (5x^3 + 4)(25x^6 - 20x^3 +16)[/tex].
Factorization;
Factorization is nothing but writing a number as the product of smaller numbers.
Given
Polynomial; [tex]\rm 125x^9 + 64[/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= 125x^9 + 64\\\\= 125x^9 -100x^6+80x^3+100x^6-80x^3+64 \\\\ =5x^3(25x^6 - 20x^3 +16) +4(25x^6 - 20x^3 +16) \\\\=(5x^3 + 4)(25x^6 - 20x^3 +16)[/tex]
Hence, the factorization of [tex]\rm 125x^9 + 64[/tex] is [tex]\rm (5x^3 + 4)(25x^6 - 20x^3 +16)[/tex].
To know more about factorization click the link given below.
brainly.com/question/17595467
