00:02
For this question, we are going to write a polynomial function given its zeros.
00:11
We have the zeros, x equals 0, x equals negative 5, x equals negative 3, x equals 2, and x equals 4.
00:27
Let's write those as factors.
00:35
Times x plus 5, times x plus 3, times x minus 2, times x minus 4.
00:47
We weren't specifically told that we had to multiply to get standard form, so it might be okay to leave our answer in factored form like this.
00:59
If not, we could multiply.
01:02
I would multiply two binomials at a time.
01:06
X squared minus 4x minus 2x plus 8, x squared plus 3x plus 5x plus 15 times x.
01:25
Then i would multiply the trinomials together.
01:32
It's sometimes easier to do that with a multiplication table, just for organization...