Question

What is the factorization of 729x15 1000? (9x5 10)(81x10 – 90x5 100) (9x5 10)(81x5 – 90x10 100) (9x3 10)(81x6 – 90x6 100) (9x3 10)(81x9 – 90x3 100).

Answer 1

The factors of the equation are $\rm (9x^4+10)(81x^{10} -90x^5 + 100)$.

Given

Equation; $\rm 729x^{15 }+ 1000$.

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots  is given by:

$\rm a(x-x_1)(x-x_2)......$

Where a is the leading coefficient.

The factors of the equation are;

$\rm (9x^5 + 10)(81x^{10} -90x^5 + 100)\\\\ 729x^{15}-810x^{10}+900x^5+810x^{10}-900x^5+1000\\\\9x^5(81x^{10} -90x^5 + 100)+10(81x^{10} -90x^5 + 100)\\\\ (9x^4+10)(81x^{10} -90x^5 + 100)$

Hence, the factors of the equation are $\rm (9x^4+10)(81x^{10} -90x^5 + 100)$.

To know more about factors click the link given below.

brainly.com/question/195124