Question

.

Answer 1

\[(x+3)^2(x-5)^2\]

Answer 2

\[f(x)=(x+3)^2(x-5)^2\]

Answer 3

To verify 0s of x:
\[(x+3)^2(x-5)^2=0\]
\[(x+3)^2=0\]
\[(x-5)^2=0\]

Answer 4

how would you verify the zeros of f(x)?

Answer 5

\[(x+3)(x+3)=0\]
\[(x-5)(x-5)=0\]
So now you have 4 equations:
\[x+3=0\]
\[x+3=0\]
\[x-5=0\]
\[x-5=0\]

Answer 6

Solve them to get the solutions:
\[x=-3\]
\[x=-3\]
\[x=5\]
\[x=5\]
See two repeated roots, one is -3, the other one is 5