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Chapter 5: Q. 312 (page 551)

Divide each polynomial by the binomial.

z3+1÷z+1

Short Answer

Expert verified

The solution isz2-z+1.

Step by step solution

01

Step 1. Given information 

Polynomial:z3+1

Binomial:z+1

02

Step 2. Calculation 

Using long division -

z2-z+1

role="math" localid="1645988083382" z+1)z3+1¯

z3+z2

role="math" localid="1645988173888" -z2+1¯

-z2-z

z+1¯

z+1

0¯

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