Find the zeros of f(x)=(x+5)^5(x-3)^6 and state the multiplicity.

5, multiplicity –5; 3, multiplicity 6

–5, multiplicity 5; 3, multiplicity 6

–5, multiplicity 5; 6, multiplicity 3

5, multiplicity –5; 6, multiplicity 3

Question

Find the zeros of f(x)=(x+5)^5(x-3)^6 and state the multiplicity.
		
5, multiplicity –5; 3, multiplicity 6
		
–5, multiplicity 5; 3, multiplicity 6
		
–5, multiplicity 5; 6, multiplicity 3
		
5, multiplicity –5; 6, multiplicity 3

nory · Answer

One of the zeros is -5, the other is 3.
Because (x+5) is raised to the 5th power, -5 has a multiplicity 5.
For the same reason, (x-3) has multiplicity 6.
Does that make sense?

anonymous · Answer

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