Question

Find the zeros of the function. State the multiplicity of multiple zeros.

y = 10x³ - 10x
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
(Use a comma to separate answers as needed.)
A. The numbers
are zeros of multiplicity 1 and the numbers are zeros of multiplicity 2.
B. The numbers
are zeros of multiplicity 2.
C. The numbers 1,-1,0 are zeros of multiplicity 1.
D. The numbers are zeros of multiplicity 3.

Answer 1

• C. The numbers 1,-1,0 are zeros of multiplicity 1.

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Given:

• Function y = 10x³ - 10x

Find its zero's:

• 10x³ - 10x = 0
• x³ - x = 0
• x(x² - 1) = 0
• x(x + 1)(x - 1) = 0
• x = 0 and x + 1 = 0 and x - 1 = 0
• x = 0 and x = - 1 and x = 1

It has three different zeros of multiplicity 1.

Correct choice is C.