Easy Algebra Step-by-Step

Answer Key 223

5. −^10
   10

444220 52

23

xy^4 zx^4 − 2020 yz^5

xy^2 z

=

−

+

10 −

10

20

10

444

23

252

23

xy^4 z

xy^2 z

xy^2 z

xy^2 z

= −x^2 yz^3 − 2 y^2 z

The quotient is −x^2 yz^3 − 2 y^2 z and the

remainder is 0.

−+ 18 5

3

5

5

x

x

=−^18 +

3

(^55)
55 + 3
x
xx^533
=− 6 +
5
3 x^5
The quotient is −6 and the remainder
is 5.
7.
714427
7
63 52 42 32
32
ab^6 ab^5 ab^4 ab^3
ab^3
14
=+
−

• −


• 
  

  7
  7
  14
  7
  42
  7
  7
  7
  63
  32
  52
  32
  42
  32
  32
  32
  ab^6
  ab^3
  ab^5
  ab^3
  ab^4
  ab^3
  ab^3
  ab^3
  = a^3 b − 2 a^2 − 6 a + 1
  The quotient is a^3 b− 2 a^2 − 6 a+ 1
  and the remainder is 0.

  
  

8. x
   x

(^21)
1
−

• =+) −


• 
  

  −−
  −−
  −
  xx+ )
  xx+
  x
  x
  x
  (^10) ))x + 1
  1
  1
  0
  1
  2
  2
  The quotient is x − 1 and the
  remainder is 0.

  
  

9. xx
   x

(^292) x 0
4
9 x
−
= ) +
−
−
−
xx− ) x
xx−
x
x
x
(^49) ))x − 20
4
52 x+ 0
52 x+ 0
0
5
2
2
The quotient is x − 5 and the
remainder is 0.

10.^26
4

xx^32133 x

x

111333

−

= +−+

+

−

+

xx− xx−

xx

xx

xx

x

x

xx

42 13 6

2 x −

91 x − 3

93 x − 6

23 6

23 92

98

29 x ++ 2

(^32) +
(^328) x
2
2
2
)
33
The quotient is 2x^2 + 9 x+ 23 and the
remainder is 98.