Chapter 5: Q.214 (page 537)

In the following exercises, multiply. Use either Method.
$(3 q + 1) (q^{2} - 4 q - 5)$

Short Answer

Expert verified

The product of the given polynomials is $3 q^{3} - 11 q^{2} - 19 q - 5$

Step by step solution

Step 1. Given Information

The given polynomials are $(3 q + 1) (q^{2} - 4 q - 5)$

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

Step 2. Using distributive property

According to distributive property:

$(3 q + 1) (q^{2} - 4 q - 5) = 3 q (q^{2} - 4 q - 5) + 1 (q^{2} - 4 q - 5) (3 q + 1) (q^{2} - 4 q - 5) = 3 q^{3} - 12 q^{2} - 15 q + q^{2} - 4 q - 5 (3 q + 1) (q^{2} - 4 q - 5) = 3 q^{3} - 11 q^{2} - 19 q - 5$

Step 3. Conclusion

The product of the polynomials is $3 q^{3} - 11 q^{2} - 19 q - 5$

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In the following exercises, multiply. Use either Method.
$(3 q + 1) (q^{2} - 4 q - 5)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Using distributive property

Step 3. Conclusion

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In the following exercises, multiply. Use either Method.3q+1q2-4q-5

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Using distributive property

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Logic and Functions

Decision Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, multiply. Use either Method.
$(3 q + 1) (q^{2} - 4 q - 5)$