Beginning Algebra, 11th Edition

(Marvins-Underground-K-12) #1

SECTION 5.7 Dividing Polynomials^343


Step 4


129 divided by divided by


24


129


Step 5


Subtract. Then bring down Subtract. Then bring down the next


the next digit. term.


24


129


216


Step 6


216 divided by. 10 xdivided by.


248


129


216


Remainder 0 Remainder 0


6696 divided by 27 is 248. divided by


The remainder is 0. is The remainder is 0.


Step 7


CHECK Multiply. CHECK Multiply.



= 8 x^3 - 4 x^2 - 14 x+ 15 ✓


27 # 248 = 6696 12 x+ 3214 x^2 - 8 x+ 52


2 x+ 3 4 x^2 - 8 x+ 5.


8 x^3 - 4 x^2 - 14 x+ 15


216 10 x+ 15


10 x+ 15


108 - 16 x^2 - 24 x


- 16 x^2 - 14 x


54 8 x^3 + 12 x^2


27  6696 2 x+ 3  8 x^3 - 4 x^2 - 14 x+ 15


4 x^2 - 8 x+ 5


8 # 27 = 216 512 x+ 32 = 10 x+ 15


27 = 8 2 x= 5


10 x+ 15


108 - 16 x^2 - 24 x


- 16 x^2 - 14 x


54 8 x^3 + 12 x^2


27  6696 2 x+ 3  8 x^3 - 4 x^2 - 14 x+ 15


4 x^2 - 8 x


108 - 16 x^2 - 24 x


- 16 x^2 - 14 x


54 8 x^3 + 12 x^2


27  6696 2 x+ 3  8 x^3 - 4 x^2 - 14 x+ 15


4 x^2 - 8 x


4 # 27 = 108 - 8 x 12 x+ 32 = - 16 x^2 - 24 x


27 = 4. - 16 x^22 x= - 8 x.


Step 3


Subtract. Then bring down Subtract. Then bring down the next


the next digit. term.


2


129


( To subtract two polynomials, change the


signs of the second and then add.)


- 16 x^2 - 14 x


54 8 x^3 + 12 x^2


27  6696 2 x+ 3  8 x^3 - 4 x^2 - 14 x+ 15


4 x^2

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