3 years ago

Square

Mathematics

1 answer:

lara [203]3 years ago

8 0

Answer: All of them are correct.

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What is the factorization of 729x15 1000? (9x5 10)(81x10 – 90x5 100) (9x5 10)(81x5 – 90x10 100) (9x3 10)(81x6 – 90x6 100) (9x3 1

Rudiy27

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

Given

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

<h3>What is the Factor Theorem?</h3>

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.

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3 years ago

Find first derivative f(x)= x² - 4 /x³ + 9

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f'(x) = 2x + $\frac{12}{x^{4} }$

Step-by-step explanation:

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$\frac{d}{dx}$ ( a $x^{n}$ ) = na $x^{n-1}$

Given

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f'(x) = 2x + 12 $x^{-4}$ = 2x + $\frac{12}{x^{4} }$

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