Algebra 2 please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Question

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

 

Answer 1

1). y = x(x - 1)3

Let y = 0

Then

0 = x (x - 1)3

3x(x - 1) = 0

3x = 0

Divide each side by 3

(3x) / 3 = 0 / 3

x = 0

And

(x - 1) = 0

Add 1 to each side

x - 1 + 1 = 1

x = 1

So , x = 0, x = 1 multiplicity 3

Option A is right choice
 

2).  y = (x - 2)2(x - 1)

Let y = o

Then

0 = (x - 2)2(x - 1)

(x - 2)2(x - 1) = 0

x - 2 = 0

Add 2 to each side

x - 2 + 2 = 2

x = 2

And

2(x - 1) = 0

Divide each side by 2

[2(x - 1) ] / 2 = 0 / 2

x - 1 = 0

Add 1 to each side

x - 1 + 1 = 1

x = 1

So, x = 1, x = 2 multiplicity 2

Option C is right choice.