Find the zeros of the function. State the multiplicity of multiple zeros.
y = x(x - 1)3
A.
x = 0, x = 1 multiplicity 3
B.
x = 9 multiplicity 2
C.
x = 1 multiplicity 3
D.
x = 0 multiplicity 2
Points Possible:2.00
2.
Find the zeros of the function. State the multiplicity of multiple zeros.
y = (x - 2)2(x - 1)
A.
x = -1, x = -2 multiplicity 2
B.
x = 0 multiplicity 2
C.
x = 1, x = 2 multiplicity 2
D.
x = 1 multiplicity 2
Points Possible:2.00
3.
A multiple zero has a multiplicity equal to the number of times the zero occurs.
A.
True
B.
False
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Answers & Comments
Verified answer
1. y = x(x - 1)³
If y = 0, then x = 0 and x = 1 thrice.
So x = 0 and x = 1 with the multiplicity of 3.
2. y = (x - 2)²(x - 1)
There are x = 2 with the multiplicity of 2 and x = 1.
3. The answer is true.
Good luck!