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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 301 (page 1069)

Divide the polynomial by the monomial-
$\frac{72 r^{5} s^{2} + 132 r^{4} s^{3} - 96 r^{3} s^{5}}{12 r^{2} s^{2}}$

Short Answer

Expert verified

The solution is $6 r^{3} + 11 r^{2} s - 8 r s^{3}$

Step by step solution

01

Step 1. Given information

To solve, $\frac{72 r^{5} s^{2} + 132 r^{4} s^{3} - 96 r^{3} s^{5}}{12 r^{2} s^{2}}$

02

Step 2. Calculation

Solving the equation,

$\frac{72 r^{5} s^{2} + 132 r^{4} s^{3} - 96 r^{3} s^{5}}{12 r^{2} s^{2}} = \frac{72 r^{5} s^{2}}{12 r^{2} s^{2}} + \frac{132 r^{4} s^{3}}{12 r^{2} s^{2}} - \frac{96 r^{3} s^{5}}{12 r^{2} s^{2}} = 6 r^{3} + 11 r^{2} s - 8 r s^{3}$

The solution is $6 r^{3} + 11 r^{2} s - 8 r s^{3}$

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Most popular questions from this chapter

In the following exercises, evaluate the function:

$a . g (h^{2}) b . g (x + 2) c . g (x) + g (2)$

Function: $g (x) = 7 - 5 x$

In the following exercises, factor the greatest common factor from each polynomial.

$9 n - 63$

In the following exercises, simplify each complex rational expression using either method.

$\frac{\frac{3}{b^{2} - 3 b - 40}}{\frac{5}{b + 5} - \frac{2}{b - 8}}$

Factor completely, $5 x^{3} + 15 x^{2} - 20 x$

Factor Trinomials of the Form $a x^{2} + b x + c$ using the 鈥榓c鈥� Method.

$5 s^{2} 鈭� 9 s + 4$

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