Easy Algebra Step-by-Step

112 Easy Algebra Step-by-Step

b. −

−

12

3

xx^42 +++ 666

x

Step 1. Divide each term of the polynomial by the monomial.

−+

−

12 6

3

xx^42 ++ 66

x

=

−

−

+

−

12

3

6

3

x^426

x

x

x

= 42 xx^3 − 2

Step 2. State the quotient and remainder.

The quotient is 42 xx^32 and the remainder is 0.

c.^4816

4

xy^438 xy^3416 xy

xy

88 xy^333 +

Step 1. Divide each term of the polynomial by the monomial.

4816

4

xy^438 xy^3416 xy

xy

88 xy^33 +

=+

−

+

4

4

8

4

16

4

xy^4383416

xy

xy

xy

xy

xy

=xx^32 − 24 x^2 yyy^232 +++

Step 2. State the quotient and remainder.

The quotient is xx^322 xx^22 yyyy^22324 and the remainder is 0.

d.^61

2

4

4

x

x

Step 1. Divide each term of the polynomial by the monomial.

61

2

4

4

x

x