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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.215 (page 537)

In the following exercises, multiply. Use either Method.
$(6 r + 1) (r^{2} - 7 r - 9)$

Short Answer

Expert verified

The product of the given polynomials is $6 r^{3} - 41 r - 61 r - 9$

Step by step solution

01

Step 1. Given Information

The given polynomials are $(6 r + 1) (r^{2} - 7 r - 9)$

The product is to be determined using any method i.e. either the Distributive Property or the Vertical Method.

02

Step 2. Using distributive property

According to distributive property:

$(6 r + 1) (r^{2} - 7 r - 9) = 6 r (r^{2} - 7 r - 9) + 1 (r^{2} - 7 r - 9) (6 r + 1) (r^{2} - 7 r - 9) = 6 r^{3} - 42 r^{2} - 54 r + r^{2} - 7 r - 9 (6 r + 1) (r^{2} - 7 r - 9) = 6 r^{3} - 41 r - 61 r - 9$

03

Step 3. Conclusion

The product of the polynomials is $6 r^{3} - 41 r - 61 r - 9$

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