Use long division to divide (6x^2 - 39x -21) / (x -7)

How do you divide

x

4

+

2

x

3

+

15

x

2

+

6

x

+

8

x

−

4

?

Algebra Division of Polynomials

1 Answer

Alan P.

Jun 13, 2017

x

4

+

2

x

3

+

15

x

2

+

6

x

+

8

x

−

4

=

x

3

+

6

x

2

+

39

x

+

152

Remainder:

616

Explanation:

Do this division either using "synthetic division" or "long division"

synthetic division

x

4

x

3

x

2

x

1

x

0

usually omitted

1

2

15

6

8

the coefficients

+

−−−

|

−

0

−

4

−

24

−−

146

−−−

608

−−−

product of prior row 3 value and

x

's zero

4

|

1

6

39

152

616

the 4 is the value of

x

that would make the denominator

=

0

x

3

x

2

x

1

x

0

R

again, this is usually omitted

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