Answers and Explanations 163
Answers
101–200
101.
3
4
15
21 75
106
5
3
2
2
x
x
x
x
x
+
−
− +
+
+
Begin by filling in all the missing terms so that everything will line up when you perform the long division. Here, add 0x
3
and 0x as placeholders in the numerator and put
0x in the denominator:
3
4
1
5
3
4
0
0
1
0
5
5
4
2
2
5
4
3
2
2
x
x
x
x
x
x
x
x
x
x
x
+
−
+
+
=
+
+
−
+
+
+
+
Then use polynomial long division:
Put the remainder over the divisor when writing your answer:
3
4
1
5
3
4
15
21 75
106
5
5
4
2
2
3
2
2
x
x
x
x
x
x
x
x
x
+
−
+
+
=
+
−
− +
+
+
102.
3
8
15
41 114
60
166
2
4
3
2
2
3
2
x
x
x
x
x
x
x
−
+
− +
−
+
+
+
Begin by filling in all the missing terms so that everything will line up when you
perform the long division:
3
2
2
2
4
3
2
0
0
2
2
0
4
6
5
4
3
3
2
6
5
4
3
2
3
2
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
−
−
+
+
+
+
=
−
−
+
+
+
+
+
+
+
Using polynomial long division gives you
Then write your answer, putting the remainder over the divisor:
3
2
2
2
4
3
8
15
41 114
60
166
2
6
5
4
3
3
2
3
2
2
3
2
x
x
x
x
x
x
x
x
x
x
x
x
x
−
−
+
+
+
+
=
−
+
− +
−
+
+
+ + 4