Question

Find the zeros of the polynomial function, and state the multiplicity of each.

Answer 1

y = 4(x + 7)^2(x - 7)^3

Answer 2

These are the options:


A. 4, multiplicity 1; -7, multiplicity 3; 7, multiplicity 3

B. -7, multiplicity 3; 7, multiplicity 2

C. 4, multiplicity 1; 7, multiplicity 1; -7, multiplicity 1

D. -7, multiplicity 2; 7, multiplicity 3

Answer 3

to find zeros, u put y=0
so u have
4(x + 7)^2(x - 7)^3 =0
that means
(x + 7)^2=0 OR (x - 7)^3=0

Answer 4

So how do I find the zeros from those equations?

Answer 5

when (x-a)=0, a is a zero
so when
(x+7)=0
what will be the zero ?

Answer 6

not that easy yes to find zeros you have to put y=0 and then use wavy curve method to solve the zero

Answer 7

I am so confused.

Answer 8

hartnn, is it -7?

Answer 9

yes!
and since it has power = 2
its multiplicity = 2

Answer 10

now u also have (x - 7)^3 =0
so what is a zro here ?

Answer 11

The zero is 7, and the multiplicity is 3. Is that right?

Answer 12

absolutely correct!

Answer 13

So the answer is B?

Answer 14

7, and the multiplicity is 3
so its D.

Answer 15

Oh, I see, whoops. Thanks so much! :)

Answer 16

welcome :)