Chapter 5: Q.194 (page 536)

In the following exercises, multiply the binomials. Use any method.
$(q - 5) (q + 8)$

Short Answer

Expert verified

The product of the given binomials is $q^{2} + 3 q - 40$

Step by step solution

Step 1. Given Information

The given binomials are $(q - 5) (q + 8)$

The product is to be determined using any Method.

Step 2. Multiplying the binomials

Binomials can be multiplied using three methods: the distributive property, the FOIL method and the Vertical Method.

Using the FOIL Method, the terms are multiplied in the order of First Terms, Outer Terms, Inner Terms and then Last Terms:

$(q - 5) (q + 8) = (q) (q) + (q) (8) + (- 5) (q) + (- 5) (8) (q - 5) (q + 8) = q^{2} + 8 q - 5 q - 40 (q - 5) (q + 8) = q^{2} + 3 q - 40$

Step 3. Conclusion

The product of the binomials is $q^{2} + 3 q - 40$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, multiply the binomials. Use any method.
$(q - 5) (q + 8)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Multiplying the binomials

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Decision Maths

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, multiply the binomials. Use any method.q-5q+8

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Multiplying the binomials

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Decision Maths

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, multiply the binomials. Use any method.
$(q - 5) (q + 8)$