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Chapter 5: Q.209 (page 537)

In the following exercises, multiply using a) the Distributive Property; b) the Vertical Method

a+103a2+a-5

Short Answer

Expert verified

The product of the given polynomials is3a3+31a2+5a-50

Step by step solution

01

Step 1. Given Information

The given polynomials area+103a2+a-5

The product is to be determined using a) the Distributive Property; b) the Vertical Method

02

Part (a) Step 1. Using distributive property

According to distributive property:

a+103a2+a-5=a3a2+a-5+103a2+a-5a+103a2+a-5=3a3+a2-5a+30a2+10a-50a+103a2+a-5=3a3+31a2+5a-50

03

Part (a) Step 2. Conclusion

The product of the polynomials is3a3+31a2+5a-50

04

Part (b) Step 1. Using Vertical Method

Multiplying using vertical method:

3a2+a-5脳a+1030a2+10a-503a3+a2-5a3a3+31a2+5a-50

05

Part (b) Step 2. Conclusion

The product of the polynomials is3a3+31a2+5a-50

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