Name
Kuta Software - Infinite Algebra 2
_
The Rational Root Theorem
Date
State the possible rational zeros for each function.
1) f(x)
= 3x2
3) f(x)
= X2 + 8x + 10
5) f(x)
= 4x5
+ 2x-1
-
2X4 + 30x3
2) f(x)
-
15x2 + SOx - 25
6)
f(x)
8) f(x)
State the possible rational zeros for each function.
9) f(x)
= x3
=x
6
64
-
= 5x4
+ 32x2 - 21
= 2X4 -
9x2
-i- 7
Then find all rational zeros.
+ x2 - 5x + 3
10) f(x)
-1-
= x3
-
13x2 + 23x - 11
Period__
12) f(x)
15) I(x)
= 5x4
-
46x3
+ 84x2 - 50x + 7
= 5x3
+ 29x2 + 19x - 5
16) I(x)
~ 3x4
-
18) I(x)
= 2x3
+ 9x2 + 19x + 15
10x3
-
24x2 - 6x
+5
Critical thinking question:
19) In the process of solving 2x3 + 7x2 + 9x + 10 = 0 you test 1, 2, 5, and 10 as possible zeros and determine
that none of them are actual zeros. You then discover that -
2 is a zero.
You calculate the depressed
2
3
polynomial to be 2x + 2x + 4. Do you need to test 1, 2, 5, and 10 again? Why or why not?
-2-