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McGraw Hill Integrated II, 2012 View details

10. Roots and Zeros

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Exercise 73 Page 79

Construct a table to find all of the possible values of the expression for each of the values from the replacement set.

± 1, ± 2, ± 3, ± 6, ± 1/2, ± 3/2, ± 1/4, ± 3/4

Practice makes perfect

To find all of the possible values of ± ba, replace both variables with each value from the replacement sets and simplify the expression.

±	a	b	±b/a	Simplify
+	1	1	+1/1	1
-	1	1	-1/1	-1
+	1	2	+2/1	2
-	1	2	-2/1	-2
+	1	3	+3/1	3
-	1	3	-3/1	-3
+	1	6	+6/1	6
-	1	6	-6/1	-6
+	2	1	+1/2	1/2
-	2	1	-1/2	-1/2
+	2	2	+2/2	1
-	2	2	-2/2	-1
+	2	3	+3/2	3/2
-	2	3	-3/2	-3/2
+	2	6	+6/2	3
-	2	6	-6/2	-3
+	4	1	+1/4	1/4
-	4	1	-1/4	-1/4
+	4	2	+2/4	1/2
-	4	2	-2/4	-1/2
+	4	3	+3/4	3/4
-	4	3	-3/4	-3/4
+	4	6	+6/4	3/2
-	4	6	-6/4	-3/2